Question 1(Multiple Choice Worth 1 points) (08.01 MC)

A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Question 2(Multiple Choice Worth 1 points)
(08.01 MC)

A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?

The company earned 68 billion dollars from 2008 to 2018.
The company earned 68 billion dollars in 2008.
The company earned 10 billion dollars from 2008 to 2018.
The company earned 10 billion dollars in 2008.
Question 3(Multiple Choice Worth 1 points)
(08.01 MC)

A function is shown: f(x) = 16x2 − 1.

Choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (8x + 1)(8x − 1)
f(x) = 4(x2 + 1)
f(x) = 8(x2 − 1)
Question 4(Multiple Choice Worth 1 points)
(08.01 MC)

A farmer is tracking the amount of wheat his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 75 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 5 to year 15.

The crop yield increased by 150 pounds per acre from year 5 to year 15.
The crop yield decreased by 15 pounds per acre from year 5 to year 15.
The crop yield decreased by 5 pounds per acre from year 5 to year 15.
The crop yield did not change from year 5 to year 15.
Question 5(Multiple Choice Worth 1 points)
(08.01 MC)

Abby collected data modeling a company's costs versus its profits. The data are shown in the table:

x g(x)
−3 12
−1 −4
0 0
2 32

Which of the following is a true statement for this function?
The function is decreasing from x = −3 to x = −1.
The function is increasing from x = −3 to x = −1.
The function is decreasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.

Question 7(Multiple Choice Worth 1 points)
(08.01 MC)

Finn removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 12x2 −13x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

12(0)2 − 13(0) + 3
(3x − 1)(4x − 3)
12(x − 3)2 − 1
12(x − 1)2 − 3

Question 10(Multiple Choice Worth 1 points)
(08.01 LC)

Jordan is kayaking upstream. The following equation models his speed: f(x) = 2x2 − 4x − 9, where x is Jordan's speed relative to land. What is the domain of the function?

x ≥ 1
x ≤ −4
x ≥ −9
All real numbers