Quadratic Models Worksheet printable pdf download

Quadratic Models Worksheet

Quadratic Models

1. The profit for a company is given by

(

)

. 0

0002

140

250

000

, where

−

x is the number of units produced. What production level will yield a maximum

profit?

2. The perimeter of a rectangle is 400 feet. Let x represent the width of the rectangle

and write a quadratic function that expresses the area of the rectangle in terms of

its width. Of all possible rectangles with perimeters of 400 feet, what are the

measurements of the one that has the greatest area?

3. A billboard is 10 feet longer than it is high. The billboard has 336 square feet of

advertising space. What are the measurements of the billboard?

4. The Royal Gorge Bridge near Canon City, Colorado is the highest suspension

bridge in the world. The bridge is 1053 feet above the Arkansas river. If a rock

were dropped from the bridge, how long would it take the rock to hit the water?

(

) (

)

t s

−

5. An astronaut standing on the surface of the moon throws a rock into space. The

height of the rock is given by the equation

) (

7 .

. How much

t s

−

time will elapse before the rock strikes the lunar surface?

6. The demand equation for a certain product is p = 50 – 0.0005x where p is the

price per unit and x is the number of units sold. The total revenue for selling x

units is given by R = xp. How many units must be sold to produce a revenue of

$250,000?

Quadratic Models Worksheet