Word Problems with Quadratic Functions

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Word Problems Involving Quadratic Equations February 14, 2013 Word Problems involving Quadratic Equations

Transcript of Word Problems with Quadratic Functions

Page 1: Word Problems with Quadratic Functions

Word Problems Involving Quadratic Equations February 14, 2013

Word Problems involving Quadratic Equations

Page 2: Word Problems with Quadratic Functions

Word Problems Involving Quadratic Equations February 14, 2013

The height, h, in metres, of a BMX rider t seconds after leaving a jump can be modelled by the function, h(t) = ­4.5t2 + 8.3t + 2.1

a. What does the vertex mean in this question? Find the vertex.

b. What does the y­intercept mean in this question? Find the y­intercept. 

Page 3: Word Problems with Quadratic Functions

Word Problems Involving Quadratic Equations February 14, 2013

A student club is planning a fundraising car wash. Last year they charged $10 per vehicle and washed 120 vehicles. They would like to earn more money this year. For every $1 increase in price, they know they will wash 5 fewer vehicles.

a.) Write a quadratic function to model this situation.b.) Determine the best price to charge for the car wash and the     revenue expected at that price.

Page 4: Word Problems with Quadratic Functions

Word Problems Involving Quadratic Equations February 14, 2013

A sales manager wants to increase his sales revenue. Currently, he sells his product for $12  and sells 500 each month. His research indicates that for every $1 price increase, he will sell 25 fewer products.

a.) Write a quadratic function to model this situation.b.) Determine the best price to charge and the revenue expected at     that price.