A

1.

A ball is thrown vertically upward from the top of a building 160 feet tall with an initialvelocity of 48 feet per second. The distance d (in feet) of the

ball from the ground aftert seconds is d(t) = 160+ 48t -16t²

2.

a. After how many seconds does the ball strike the ground?The answer will be in a complete sentence with proper grammar and correct spelling.

b. When will the ball reach its maximum height? What is the maximum height of theball?

The answers in a complete sentence with proper grammar and correct spelling.

B

1.

Laura owns and operates Aunt Linda's Pecan Pies. She has learned that her profits, P(x), from the sale of x cases of pies, are given by

P(x) = 150x -x²

2.

a. The company will "break-even" when the profit is zero. How many cases of pies should Laura sell in order to break-even? (Solve for x when P(x) = 0.) The answer will be in a complete sentence with proper grammar and correct spelling.

b. How many cases of pies should she sell in order to maximize profit? What is the maximum profit? The answer will be in a complete sentence with proper grammar and correct spelling.

C For f(x) = x³-7x²+ 8x + 16,

a.Find f(10) using synthetic division.

b. Is 10 a zero of the function? Explain in a complete sentencewith proper grammar and correct spelling.

c. Use synthetic division to determine if x + 1 is a factor of f(x).

d. Is -1 a zero of the function? Explain in a complete sentence with proper grammar and correct spelling.

e. List all of the zeros and their multiplicities of the polynomial. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros of the polynomial function.

D Based on data from the U.S. Department of Agriculture, the average number of acres per farm x years after 2000 can be approximated by the model below. (Round answers to 2 decimal places.)

A(x)=

2078x-94458

13x-2164

a. Use the model to estimate the average number of acres per farm in 2005.

b. Use the model to predict the average number of acres per farm in 2012.

c. Find and interpret the zero of the rational function. Does this result make sense within the context of the problem? Answer in complete sentences using proper grammar and correct spelling.

E A rare species of insect was discovered in the rain forest. In order to protect the species, environmentalists declare the insect endangered and transplant the insects into a protected area. The population of the insect t months after being transplanted is given by P(t).

P(t) =

60(1+0.4t)

0.01t+3

a. How many insects were discovered? In other words, what was the population when t = 0?

b. What will the population be after 5 years? Round to the nearest whole insect.

c. Determine the horizontal asymptote of P(t). Describe what the horizontal asymptote means in the context of the problem. Use the value of the horizontal asymptote in the explanation. Answer in a complete sentence using proper grammar and correct spelling

d. Sketch the graph ofP(t).

8. State the domain, vertical asymptote and slant asymptote of the function

7x²-8x+11

x-6