Mat 1101 Test 4 With Answers - 2009 (Page 2 of 2) in pdf

Mat 1101 Test 4 With Answers - 2009 Page 2

6. Find the equation of the parabola that has a vertex

7. Find the equation of the parabola that fits

of (3, –8) and passes though the point (2, –3).

the given data.

-1.5

y = 5(x – 3)

– 8

y = 0.5(x – 3)

– 2

-2

-1.5

8. A cork is shot out of a bottle of champagne vertically upward with a velocity of 64 feet per second from a

table top that is 3 feet off of the floor. Use the formula h(t) = –16t

+ v

t + h

to answer the following questions.

a) Find the equation h(t) that represents the height of the cork after t seconds.

h(t) = –16t

+ 64t + 3

b) How high is the cork after 3 seconds?

c) How long does it take for the cork to hit the floor?

51 feet

about 4.0463 seconds

d) What is the maximum height the cork reaches?

67 feet

9. Augusta Tech is planning on building a garden whose area will be 120 ft

. If the perimeter of the garden will

use 46 feet of fencing, what are the dimensions of the garden?

8 feet by 15 feet

10. Natural gas used in a particular region in millions of cubic feet from 1980 to 2000 can be modeled by the

function G(x) = 0.016x

– 0.368x + 22.1, where x represents years after 1980.

a) How many millions of cubic feet were used in 1986?

b) During what year was the minimum amount

of natural gas used in the region?

20.468 ft

1991

c) During what years did the amount of natural gas used equal 20.5 million cubic feet?

1985 and 1997

Mat 1101 Test 4 With Answers - 2009 Page 2