Quadratic revenue word problems worksheet

15) f (x) = -2x2 + 12x - 15 Max and min problems can be solved using any of the forms of quadratic equation: Vertex form 2y = a(x – h) + k the vertex is (h, k) Factored form y = a(x – p)(x – q) the vertex will lie on the axis of symmetry, which is found using the mean of the roots p and q. 273. 2 Quadratic Word Problems Name: 1 -5 Maximizing Revenue Word Maximum And Minimum Quadratic Word Problems Worksheet, Worksheet On Quadratic Word Problems, Quadratic Regression Word Problems Worksheet, Quadratic Equations Worksheet Grade 9 With Answers, Quadratic Revenue Word Problems Worksheet, Quadratic Equations Worksheet Generator, Real World Quadratic Word Problems Worksheet, Quadratic Equations Worksheet Grade 10 Cbse, Solving Quadratic Equations This algebra video tutorial explains how to solve word problems that asks you to calculate the maximum value of a function or the minimum value of a quadrati Example 1: Find a number that is 56 less than its square. Answer. Quadratic Word Problems… All Mixed Together! 1. You can use various methods to solve quadratic equations. Solve Quadratic Equations by Factoring; Solve Quadratic Equations by Completing the Square; Quadratic Formula Worksheets. Find the manufacturer’s weekly fixed costs and marginal cost per case of soda. Plus each one comes with an answer key. c)&ℎ!=−!!+2!+4& & & & & d)&!!=2!!+12!+17& e)&!!=4!!+64!+156&& & & & f)&!!=!!!−3!+8& 3)&An&electronics&store&sells&an&average&of&60&entertainment&systems&per Problem 6 sent by Κυριάκος There is a two-digit number whose digits are the same, and has got the following property: When squared, it produces a four-digit number, whose first two digits are the same and equal to the original’s minus one, and whose last two digits are the same and equal to the half of the original’s. 2. Determine the price, p, that would yield the maximum profit, P, for the following profit equation. Name___________________________________. 5. Revise with Concepts. com/patrickjmt !! More Word Problems Using Q So income is a function of price, it is a quadratic, and I actually like to write my highest degree terms first, so I'll just, income is equal to, I'm just gonna swap these, negative 200 P squared plus 42, 4260 P. Page 391-393 #11, 14, 15, 18  22 May 2017 Writing a quadratic function to model the revenue of a word problem and using it to determine the price of a product that with maximize the  Quadratic Equations - Word Problems. Then, length of diagonal = x + 60. l u fAqljlf trjiBgxhStBsI hrUeXsYe_rLvPewds. Applications of Quadratic Functions Quad applications Max & Min. Let m = the number of miles. Aphotograph8&cm&by&11&cm&will&be&framedas&shownin& the&diagram. 50x represents the single price and 1200 – 100x represents the number of tickets sold. oAylDgIeWbgrxaU b1d. The number of items needed to maximize the revenue function is x= −b 2a = −54 2 ∗(−3) = 9 items The maximum revenue is R(9) = −3(9)2 +54 ∗ 9 = $243 dollars. A root of an equation is a solution of the equation. -1-1) A parabola has a vertex at (3,-2) and passes through (6,7). Check x2 Use our handy quadratic equation calculator to solve all quadratic problems. UNIT TEST ON QUADRATIC FUNCTIONS More Word Problems Using Quadratic Equations Example 2 A manufacturer develops a formula to determine the demand for its product depending on the price in dollars. 246. Create a T separating the two ( ). Quadratic Formula Worksheet (real solutions) Step 2: Factor the quadratic equation. Equations and Functions A textbook company has discovered that the profit for selling its books is given by where x This problem could have been solved by the quadratic formula, In addition, quadratic equations refer to an equation that has at least one squared variable. Step 3. Advanced Algebra II . Don't try to figure out where they got it from. Complementary and supplementary word problems worksheet · Area and perimeter  Quadratic Functions Word Problems 1. 15. Quadratic equations of all kinds, with real or complex roots, can be solved using the quadratic equation calculator. Chapter 5: Applying Quadratic Models 244. Most tricky and tough algebra word problems are covered here. 320 #3 p. Word Problems (page 3 of 3). A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/h more than its original speed. Evaluate cost, demand price, revenue, and profit at \(q_0\text{. Min Word Puzzles Homework Solutions Nov. An orange grove now has 20 trees per acre. Since 1 5th 0 2 the remainder of the trip is 11 4 miles. Both are set up almost identical to each other so they are both included together. Quadratic. 1 Quadratic Optimization: The Positive Definite Case In this chapter, we consider two classes of quadratic opti-mization problems that appear frequently in engineering and in computer science (especially in computer vision): 1. pdf This flipbook highlights the vocabulary Algebra and Algebra 2 students will see when solving projectile motion quadratic word problems. Find when the equation is equal to zero. Currently, he sells his  3rd Grade Math word problem worksheets are a great way to get kids practicing math concepts. Math Busters Word Problems reproducible worksheets are designed to help teachers, parents, and tutors use the books from the Math Busters Word Problems series in Sep 26, 2017 - Tackle our printable quadratic equation worksheets to acquire sound knowledge of forming a quadratic equation and solving it using various techniques. Problem 1 : A company has determined that if the price of an item is $40, then 150 will be demanded by consumers. minimum of the quadratic, and sometimes we simply want to solve or evaluate the quadratic. Solving Quadratic Equations by Graphing A quadratic equation in one variable is an equation that can be written in the standard form ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. 00 + 0. Quadratic functions worksheet for grade 11. When dealing with word problems it is generally easier and more efficient to use the Find the number of units that produce the maximum rev A “Guided Problem Solving” worksheet is in your packet. Step 4: Once ( ) are separated, set each ( ) = to 0 and solve for the variable. Worksheet by Kuta Software LLC Quadratic Word Problems Name_____ ©R Y2y0o1N9v DKguktka_ pShodfmtcwcaDrqeG `LSLQC[. 14. a. Exercise #7: The profit P, in dollars, gained by selling x comput Apply the Square Root Property to solve quadratic equations. Step 1: Highlight the important information in this problem. Max Min Problems AREA Lesson Wed. Check-In Worksheet. Exploring Translations of Quadratic Relations 259. If the roots of a quadratic equation are 1 and -6, write the quadratic equation in the form of ax² +bx + c = 0. Recall May 25, 2012 · A 2-page worksheet containing problems which need to be solved using quadratic equations. Next, click on "Calculate" and the solution will be displayed. Throughout this lesson, students make sense of problems by analyzing the given information; make Total Revenue = (price per item)(total number of items s Start studying Quadratic Word Problems. Quadratic Models Using Vertex Form 275. (x + 60)2 = x2 + (x + 30)2. Feb 02, 2021 · What ticket price will generate 1562 50 in revenue. The same three methods (graphing, substitution, and elimination) can be used to determine the solution to a linear-quadratic system (or even two quadratic relations). Teachers! Feel free to select from this list and give them to your students to see if they have mastered how to solve tough algebra problems. 1) The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price  25 Jun 2003 In such situations, the price at which the “maximum” profit occurs Notice that the result is a quadratic equation. So this is a quadratic, and it is a downward opening quadratic. 1 p. polynomials. MPM2DI UNIT 6: QUADRATIC WORD PROBLEMS SOLVING QUADRATIC WORD PROBLEMS WITH MULTI-PARTS price would maximize revenue? 6. Learn How To Write And Solve Polynomial Equations. 1, Quadratic functions. Quadratic Word Problems Worksheet With Answers Topic 30(b)/50 : Quadratic Equation Word Problems [Worksheet in description] Maximum Revenue Quadratic Word Problems More Word Problems Using Quadratic Equations - Example 1 Maximum Height of Page 6/47 Quadratics - Revenue and Distance Objective: Solve revenue and distance applications of quadratic equa-tions. Step 3: Write the inequality. Word Problems: Population growth, integers, geometric areas. Step 5: Check each of the roots in the ORIGINAL quadratic equation. translating word problems into the store will have weekly revenue, in dollars, of r (p) = −4p2 + 200p from 14 May 2019 Quadratic word problems (factored form) The ball's height is modeled by a quadratic function, whose graph is a parabola. x 2 + 3600 + 120x = 2x 2 + 60x + 900. This is the less common type of word problem on the test, but you’ll generally see it at least once or twice. Question 1. The revenue is maximal $1800 at the ticket price $6. There are 16 problems in which students must determine the domain and range of quadratic functions in various representations including graphs, tables, verbal descriptions and word problems. 80. Once they are set up, we will solve them in exactly the same way we solved the Max. 14 Feb 2013 Word Problems Involving Quadratic Equations February 14, 2013 A sales manager wants to increase his sales revenue. Graphing Quadratics in Vertex Form 263. You may select the numbers to be represented with digits or in words. Graph the profit function over a domain that includes both break-even points. Revenue Word Problems LESSON Thurs. We can plug that into our original formula to get P = x( 25x+85) 0:2( 25x+85), which simpli es to P = 25x2+ 90x 17. A survey indicates that if the fare is increased by $0. See full list on algebra-class. word problems based on quadratic equations. Answer: Printable worksheets and online practice tests on quadratic-equations for Grade 10. Review Solutions Part 1. Again, we can use the vertex to find the maximum or the minimum values, and roots to find solutions to quadratics. The area of a triangle is 44m 2. 1 thru  For every $20 increase in the selling price, the store sells one fewer system. The - Graphing word problems, discriminant values, revenue problems, Pg 258 # 1,3, 4,5,18, 21 Questions on this Exam (without the numbers, or the numbers are different from the exam) Jan 03, 2019 · Solve for x: 3x x 2 4 8 5 QUADRATIC WORD PROBLEMS CONSECUTIVE . All can be solved using simple factorising without the need for the quadratic formula. ) b. 1. com In many quadratic max/min problems, you'll be given the formula you need to use. Solving Problems Using Quadratic Relations 285 Curious More Quadratic Word Problems 1. Getting Started. If the root of a quadratic equation is 6, write the quadratic equation in the form of ax² +bx + c = 0. When solving word problems, some common quadratic equation applications include projectile motion problems and Geometry area problems. pdf: p. Maximizing Revenue Word Problems Involving Quadratic Equations. Download Free Quadratic Word Problems Worksheet With AnswersHeight of a Ball Quadratic Word Problem Quadratic Word Problems: WP13 [fbt] Graphing Quadratic Functions in Vertex \u0026 Standard Form - Axis of Symmetry - Word Problems Maximum Height of Quadratic Word ProblemsQuadratic Equation Word Problems, part 1 070-25a Maximum and Matching Equations To Word Problems Worksheet Pdf Quadratic equation word problems and answers. Some typical problems involve the following equations: Quadratic Equations form Parabolas: Typically there are two types of problems: 1. To do th Let x = number of $0. Step 2: Identify your variable. 50x) Income = 6000 + 100x – 50x2. (The attendance then is 200 + 50*2 = 300 and (for the check purpose) $6*300 = $1800). . 359 . x:[ , ] y: [ , ] What is the maximum possible revenue? Introduction to the Graphs of Quadratic Functions, PDF. . Stretching/Reflecting Quadratic Relations 250. Many Word problems result in Quadratic equations that need to be solved. Review Solutions Part 2. ) Modeling a Quadratic Function Using Various Word Problems Example 2: Complete each word problem using techniques learned in previous concepts. )   and Profit. This is a matching worksheet. Sections: Projectile motion, General word problems, Max/min problems total income / revenue. Nov. It is to be enlarged to have an area of 192 square inches. MAXIMUM PROFIT WORKSHEET. Linear-Quadratic systems Page 3 of 4. 1. Determine its equation in vertex form. Then interpret the variables to figure out which number from the vertex you need, where, and with what units. • Graph and function p(s) = −4s2 + 400s − 8400 models the yearly profit the compa (10. Step 3: After the problem has been factored we will complete a step called the “T” chart. Example: Quadratic Applications –Revenue (Duration 7:03) (Turn up the volume). and the length is increased by 2, the area is increased by 42 square units. C. ✓ Solve View the video lesson, take notes and complete the problems below. For problems 1-8, given the equations of the cost and demand price function: Identify the fixed and variable costs. A picture has a height that is 4/3 its width. Nov 21, 2014 · To work out the problem we can define the sides of the triangle ac cording to the figure below: Step 1 - Write the equation x 2 + (x + 3) 2 = (x + 6) 2 Step 2 - Solve the equation By using the SQUARE OF A BINOMIAL FORMULA x 2 + x 2 + 6 x + 9 = x 2 + 12 x + 36 2x 2 + 6 x + 9 = x 2 + 12 x + 36 x 2 − 6x − 27 = 0 (x − 9)( x + 3) = 0 x − 9 = 0 Worksheet by Kuta Software LLC-4-13) 3r2 - 12r = 1514) 2n2 - 12 = 5n For each function, a) determine if it opens up or down, b) find the axis of symmetry, c) find the vertex, d) find the y - intercept, e) graph the function, f) determine if it has a maximum or minimum and what that value is, and g) identify the domain and range. When the price is $45, then 100 items are demanded by consumers. 271 #3aceg, 4ac, 5, 8, 12, 14-16, 18, 20: Wed May 11: Number, Revenue, Area and Perimeter Maximum and Minimum Problems Min Max Word Problems. More word problem practice. Revenue questions math grade 11. Cost, Revenue & Profit Examples 1) A soft-drink manufacturer can produce 1000 cases of soda in a week at a total cost of $6000, and 1500 cases of soda at a total cost of $8500. Includes finding roots, calculating maxmin, interactive film in Flash SWF format is a fully-animated 6 minute story problem with 4 multiple choice questions and answers. Quadratic Optimization Problems 12. If the roots of a quadratic equation are -2 and 2, write the quadratic equation in the form of ax² +bx + c = 0. In this resource, you will find 14 solved quadratic word problems. Word Problem Type 1: Setting Up an Equation. On questions (1 – 2), did the student solve the problem correctly? a) Determine the dance committee's greatest possible revenue. Max/Min Area Homework Solutions Nov. What amount over the cost price will maximize revenue? Modeling a Quadratic Function Using Various Word Problems. 10 THE GRAPH OF A QUADRATIC FUNCTION (DAY 6) The Since a= −3 indicates the revenue function opens downward, there will be a maximum and it will be at the vertex. Maximum Revenue Quadratic Word Problems Maximum Revenue Quadratic Word Problems by mathwithmrbarnes 3 years ago 17 minutes 41,876 views Writing a , quadratic , function to model the revenue of a , word problem , and using it to determine the price of a product that with Quadratic Equation Word Problems, part 1 070-25a Download File PDF Quadratic Word Problems With Solutions Quadratic equations word problems - Vivax Solutions Quadratic Word Problems Worksheet with Answers Question 1 . a); Function P that gives the profit is a quadratic function with the leading coefficient a = - 5. 2 x 2 - x 2 + 60x - 120x + 900 - 3600 = 0. Calculate the most profitable price, the number sold, and the total revenue. Find when the equation has a maximum (or minumum) value. My students often get confused by the wording of quadratic word problems and can be unsure if a problem is asking for the x value at the vertex, the y value at the Quadratic Inequality Problem; Finding Quadratic Equation from Points or a Graph; Quadratic applications are very helpful in solving several types of word problems, especially where optimization is involved. Solution: We would like to find a function that describes this situation. Your factory produces lemon-scented widgets. (a) Find the price-demand equation, assuming that it is linear. Step 3: After the problem has been factored we will complete a step called the T step. no 18 Sep 2014 What is that revenue. 50 price increases. Note that we did a How to solve word problem using quadratic equations? Example: A manufacturer develops a formula to determine the demand for its product depending on the price in dollars. (b) Find the revenue function. Unformatted text preview: PC11 Quadratics Lesson 5: MaxIMin Word Problems ll: Revenue Problems Example 1: A bus company carries about 15 000 riders per day for a fare of $0. View the video Chapter 2, Section 2. Apr 28, 2018 · Here is a set of practice problems to accompany the Quadratic Equations - Part I section of the Solving Equations and Inequalities chapter of the notes for Paul Dawkins Algebra course at Lamar University. X. Ex: Solve y =2(x −1)2 +3 and y =x +4 I will select substitution since the y is isolated in the first equation. b) What ticket price will produce the greatest revenue? Homework. Example 2: Complete each word problem using techniques learned in previous concepts. · Link to unworked worksheets used in this section · If the demand price is a linear function, then revenue is a quadratic function. 24-Factored form word problems note 24-Factored form word problems worksheet 25 Word problems Assignment 25-Word Problems Assignment Quiz #4 Review Solutions to Practice Quiz #4 Dec 2-8 Review Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Income = (number of tickets sold)(ticket price) Income = (1200 – 100x)(5. Step 2: Factor the quadratic equation. 16 Jan 2020 Solve problems involving a quadratic function's minimum or maximum value. More information Word problems involving quadratic equations. The total revenue R (in dollars) earned from selling x units of an object is given by. Date_____________________________________________. com The maximum revenue is the value of the quadratic function (1) at z = 2" R = = -200 + 400 + 1600 = 1800 dollars. You da real mvps! $1 per month helps!! :) https://www. Solve real-life problems. Mid-Chapter Review. The Wolf Pen Ice manager finds that revenue (R) based on an hourly fee (F) for skating is represented by the function R = 3120F – 480F2 Sketch the graph of the function, using an appropriate viewing window. At what price will the demand drop to 1000 units? Show Step-by-step Solutions Quiz: Quadratic formula. Find the revenue and profit functions. Some of the worksheets for this concept are Completing the square, Solving quadratic equations completing the square, Math 154b name completing the square work, Completing the square work, Completing the square, Chapter 5 quadratic equationscircles, Solving completing square, Quadratic equations by See full list on analyzemath. This function (profit) has a maximum value at x   Convert quadratic equation to vertex form worksheet In simple equations, Word problems on linear equations, Word problems in square percent theory theory of word problemWord problem fixed speed problem Profit and loss of shortcuts The questions may ask you to solve quadratic, radical, rational, patterns, the complexity of a problem can be reduced. Worksheet by Kuta Software LLC. The math worksheets are randomly and dynamically generated by our math worksheet generators. Extra Prractice quadratic word problems section 1. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS. 3. Notice that the result is a quadratic equation. length of longer side = x + 30. patreon. 186 #12-14,18 p. Plot y = Revenue is presented as the function of the projected decrease of price Writing a quadratic function to model the revenue of a word problem and using it to determine the price of a product that with maximize the revenue. 80 $64 price pro t Step 4. First, enter the coefficients a, b, c (a≠0) of the quadratic equation ax 2 +bx+c=0. Thanks to all of you who support me on Patreon. What don't you know? The question verifies that you don't know the number of miles Katie can travel. Thu May 12, Ping Pong Activity. Create a T separating the two. 5. A quadratic equation in one variable is any equation that can be written in the form ax2. Solving word problems is more than understanding what the words mean in a Most quadratic word problems should seem very familiar, as they are built from the linear problems that you've done in the past. Completing The Square Word Problems - Displaying top 8 worksheets found for this concept. ) Courtney is building a rectangular wading pool. Algebra Word Problems No Problem! These worksheets practice math concepts explained in Algebra Word Problems: No Problem! (ISBN: 978-0-7660-3367-2), written by Rebecca Wingard-Nelson. The cost, in dollars, of operating a machine per day is given by the formula 𝐶=2𝑡2−84𝑡+1025, where t is the time in hours, the machine operates. Word problems start you children thinking about math in a real  17 Aug 2020 In the quadratic equations word problems, the equations wouldn't be It can also include profit maximization or loss minimization questions in  Quadratic Word Problems Worksheet with Answers. 4( 25) = 64. Displaying top 8 worksheets found for - Maximizing Revenue. x y-8-6-4-22468-8-6-4-2 2 4 6 8 x x x x x x 11 cm 8 cm d 50m m Safety3Zone (WORKSHEET:(Solving(Problems(Using(Quadratic(Equations(& & & 1. A tree is supported by a wire anchored in the ground 5 feet from its base. The Charmed After analyzing their potential profit, a. The most important thing when solving these types of problems is to make sure that they are set up correctly so we can use the quadratic equation to easily solve them. }\) Find all break-even points. 05 the number of riders will decrease by 1000. Profit Parabola Profit Parabola In this module, you will be able to learn important concepts in quadratic functions which will enable you to answer the questions above. For problems 1-8 , given the equations of the cost and demand price Students write the quadratic function described verbally in a given context. The company's annual profit (in millions of dollars) as a function of the app's p Getting Ready Practice (additional lessons and practice problems for the prerequisite Formulate quadratic functions in a problem-solving situation. ACT word problems can be grouped into two major categories: word problems where you must simply set up an equation and word problems in which you must solve for a specific piece of information. Name____________________________________________ Quadratic Word Problems Part 2. pdf, Worksheet. Minimizing f(x)= 1 2 x�Ax+x�b over all x ∈ Rn,orsubjecttolinearoraffinecon Chapter 13 . Just find the vertex. The sum of a number and its square is 72. 13. Revenue Problems Homework Solutions Thurs. This site is free for the users because of the revenue generated by the ads running on the site. 3. Review Solutions Part 3. 5 Quadratic Application Word Problems. Some of the worksheets for this concept are Maximum profit examples, Cost revenue and profit, How to solve an optimization problem, Mathematical economics practice problems and solutions, Practice questions and answers from lesson i 3 monopoly, Price discrimination exercises part 1, Unit ii supply demand and consumer choice problem Find below a wide variety of hard word problems in algebra. x2 + 60 2 + 2 (x) (60) = x 2 + x 2 + 2 (x) (30) + 30 2. If you can solve these, you can probably solve any algebra problems. Quadratic Word Problems. A common application of quadratics comes from revenue and distance problems. 2. Math explained in easy language, plus puzzles, games, quizzes, worksheets and A Quadratic Equation looks like this: Quadratic equations pop up in many real world situations! Now you want to make lots of them and sell them for 17 May 2013 Quadratic equations arise naturally when one solves problems from a variety Over the next two lessons we will solve classic quadratic word problems. The formula is D = 2,000 + 100P - 6P 2 where P is the price per unit, and D is the number of units in demand. OBJECTIVE 1-e : To graph quadratic functions and compare them to a linear function. &The&combined&area&of&the&frame&and&photograph&& Problems Given the Quadratic Function. P=-170p2+88000p-  4. 4. The max revenue will occur when you lower the rent to 300 5 10 250 and the max revenue will be 250 000. That’s a quadratic! The vertex is h = 90 2( 25) = 1:8, and k = 17 902. The parabola points down, so it looks like this: (1:8;64) $1. Class 11 math india course summary. This allows you to make an unlimited number of printable math worksheets to your specifications instantly. 4. A small independent motion picture company determines the profit P for producing n DVD copies of a recent  Wed May 11, Number, Revenue, Area and Perimeter Maximum and Minimum Problems Min Max Word Problems. 14 quadratic equation word problems sized for stations (each problem is half a page). Note: No more than are key words that note that this problem must be written as an inequality. Find the roots: r2 12r 35 0 2. 1) – Solve application problems involving quadratic functions the price, you sometimes use a quadratic equation to represent revenue as a product of the   13 Feb 2015 Solve problems involving a quadratic function's minimum or maximum value. 193 #8,10-13: Tue May 10: Completing the Square and Applications Completing the square. Thus 5. How many clients do you lose? Page 2. In practice, though, it is usually easier to remember that k is the output Given an application involving revenue, use a quadratic equat Solution to Problem 1. The area of the rectangle = length x width. A train travels at a certain average speed for a distance of 63 km and then travels a distance of . X Practice 5-1 A skating rink manager finds that revenue R based on an hourly Demonstrates how to solve typical max/min quadratic word problems by finding the vertex of the parabola. In order for us to be able to apply the square root property to solve a quadratic equation, we cannot have Modeling a Quadratic Function When Given a Graph Example 1: Write a quadratic function (in vertex form) that models each graph. USE THE PERFECT SQUARE FORMULA . The answers are organized in an answer bank on a separate sheet, so you can di Solution : Let x be the length of shorter side of the rectangle. These Algebra 1 Equations Worksheets will produce distance, rate, and time word problems with ten problems per worksheet. In practice, though, it is usually easier to remember that k is the output Given an application involving revenue, use a quadratic equat 22 Aug 2017 Quadratic Function Word Problems Worksheet for 6th Grade the equation y 3x2 18x 4 where y is the amount of profit in hundreds of thousands of dollars Showing top 8 worksheets in the category quadratic word problems Videos, worksheets, examples, solutions, and activities to help Algebra 1 students learn how to solve geometry word problems using quadratic equations. y = -3x² + 18x - 4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of  As a hint, there is a clue for each word. word problems Word Problems Involving Quadratic Equations Quadratic Functions And Equations Word Word Problems Involving Quadratic Equations Quadratic Word Problems: Projectile Motion Quadratic equations word problems - GCSE, iGCSE, A-Level 23 -2-1 Math 2 Unit 2.