Word Problems with Quadratic Functions

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Word Problems with Quadratic Functions

  1. 1. Word Problems Involving Quadratic Equations February 14, 2013 Word Problems involving  Quadratic Equations
  2. 2. 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 y­ intercept. 
  3. 3. 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.
  4. 4. 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.

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