Mat 190 Test Worksheet With Answer Key, 2008 (Page 2 of 2) in pdf

Mat 190 Test Worksheet With Answer Key, 2008 Page 2

13. Your company uses the quadratic model y = –6x

+ 450x + 500 to represent how many units y of a new

product will be sold x weeks after its release. How many units can you expect to sell in week 25?

8000 units

14. Find the equation of the parabola having a

15. A function provides the following data. What

vertex of (–2, 6) and passing through (0, 4).

is the degree of the function?

y = – 0.5(x + 2)

+ 6

Degree 2

16. A ball is projected upwards from the ground. Its distance in feet from the ground in “t” seconds is given by

d(t) = –16t

+ 256t.

a) At what times will the ball be 752 feet from the ground?

b) What is the maximum height of the ball?

3.88 seconds and 12.12 seconds

1024 feet

17. Sales of SUVs in millions in the Unites States for the years 1990 – 1999 can be approximated by the

quadratic function f(x) = 0.016x

+ 0.124x + 0.787, where x represents the number of years after 1990.

a) Estimate sales in 1993.

b) When were sales about 2.5 million?

1.303 million

in 1997

18. Given the graph of the quadratic equation at the right, find:

a) the x-intercepts of the equation ___(-3, 0) and (1, 0)____

b) the y-intercept of the equation _____(0, 6)_______

c) the vertex of the equation ______(-1, 8)___________

d) f(-2) = __6__

e) the equation of the parabola ___y = –2(x + 1)

+ 8____

Mat 190 Test Worksheet With Answer Key, 2008 Page 2