Mia 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 f(x) = 10x2 −19x + 6, where x is time in minutes. Which of the following equations will reveal the time in minutes when the trough is empty?

 f(0) = 10(0)2 − 19(0) + 6 f(x) = 10(x − 6)2 − 1 f(x) = 10(x − 1)2 − 6 0 = (5x − 2)(2x − 3)

Question 8(Multiple Choice Worth 1 points)

(08.01 MC)

A function is shown: f(x) = 4x2 − 1.

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

 f(x) = (4x + 1)(4x − 1) f(x) = (2x + 1)(2x − 1) f(x) = 4(x2 + 1) f(x) = 2(x2 − 1)

Question 9(Multiple Choice Worth 1 points)

(08.01 MC)

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

xg(x)

−3

17

−1

−3

0

−4

2

13

Which of the following is a true statement for this function?

 The function is increasing from x = −3 to x = −1. The function is decreasing from x = −3 to x = −1. The function is increasing from x = −1 to x = 0. The function is decreasing from x = 0 to x = 2.

Question 10(Multiple Choice Worth 1 points)

(08.01 MC)

A football is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 64t, 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 how does it relate to the time the ball is in the air?

 t = 2; It takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground. t = 2; It takes the ball 2 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; It takes the ball 4 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; It takes the ball 4 seconds to reach the maximum height and 8 more seconds to fall back to the ground.