Mat 1101 Take-Home Test Worksheet - Augusta Technical College, 2009 (Page 2 of 2) in pdf

Mat 1101 Take-Home Test Worksheet - Augusta Technical College, 2009 Page 2

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

11. Find the equation of the parabola that fits

of (–2, –7) and passes though the point (0, –5).

the given data.

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12. A ball is thrown vertically upward with a velocity of 72 feet per second from the top of a building that is

108 feet tall. 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 ball after t seconds.

b) How high is the ball after 2 seconds?

c) How long does it take for the ball to hit the ground?

d) After how many seconds does it take for the ball

e) What is the highest distance the ball reaches?

to pass the edge of the building on its way down?

13. Sam and Susie’s living room has an area of 270 feet

. The length of the room is 3 feet longer than the width.

a) What are the dimensions of the room?

b) If Sam and Susie extend their living room so that the

length and width of the room are 5 feet longer than it is

currently, what would be the new area of the room?

14. Assume that the sales for a newly released DVD can be modeled by the equation S(x) = –4x

+ 16x + 30,

where S(x) represents the thousands of DVDs sold x weeks after the release of the DVD.

a) When do we expect the

b) How many DVD sales do we

c) After how many weeks do we

sales to reach their peak?

expect during the peak week?

expect there to be no sales at all?

d) How many sales do we expect to have during week 3?

Mat 1101 Take-Home Test Worksheet - Augusta Technical College, 2009 Page 2