Homework Questions.

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Presentation transcript:

Homework Questions

Quadratic Word Problems

Real World Connection A model for a company’s revenue is R = -15p² + 300p +12000, where p is the price in dollars of the company’s product. What price will maximize revenue? Find the maximum revenue.

Some more real world stuff… The equation for the motion of a projectile fired straight up at an initial velocity of 64 ft/s is h = 64t – 16t², where h is the height in feet and t is the time in seconds. Find the time the projectile needs to reach its highest point. How high will it go?

More real stuff…. The equation for the cost in dollars of producing automobile tires is C = 0.000015x² - 0.03x + 35, where x is the number of tires produced. Find the number of tires that minimizes the cost. What is the cost for that number of tires?

Word Problems Suppose you are tossing an apple up to a friend on a 3rd story balcony. After t seconds, the height of the apple in feet is given by h = -16t2 + 38.4t + 0.96. Your friend catches the apple just as it reaches its highest point. How long does the apple take to reach your friend, and at what height above the ground does your friend catch it?

Word Problems The barber’s profit p each week depends on his charge c per haircut. It is modeled by the function p = -200c2 + 2400c – 4700. What price should he charge for the largest profit?

Word Problems A skating rink manager finds that revenue R based on an hourly fee F for skating is represented by the function R = -480F2 + 3120F. What hourly fee will produce maximum revenues?

Word Problems The path of a baseball after it has been hit is modeled by the function h = -0.0032d2 + d + 3, where h is the height in feet of the baseball and d is the distance in feet the baseball is from home plate. What is the maximum height reached by the baseball? How far is the baseball from home plate when it reaches its maximum height?

Word Problems A lighting fixture manufacturer has daily production costs of C = 0.25n2 – 10n + 800, where C is the total daily cost in dollars and n is the number of light fixtures produced. How many fixtures should be produced to yield a minimum cost?

Classwork In your groups, think through some on the problems on the handout and solve! +5 points on the next test for the group that gets the most right! ONLY work with your group or you are giving away answers! Once you are finished, you can grab a homework sheet and start working on that 