Unit 6 Review

Which of the following sequences demonstrates exponential growth?

• 3, 6, 9, 12

• 2, 4, 8, 16

• 7, 14, 21, 28

• 10, 20, 30, 40

The first three terms of a geometric sequence are given as follows. What is the value of its 8th term? 5, 20, 80, …

• 81,920

• 163,840

• 327,680

• 655,360

• -32

Which of the following equations could represent the graph of the red function shown?

• y = 2x - 3

Maria's monthly gym membership fee is $80. Next month, the fee will increase by 7%. What will be her new monthly fee after the increase?

• $84.00

• $85.60

• $86.40

• $88.00

An object is accelerating such that its speed increases at a constant 15% per second. The object’s speed is 20 meters per second when it begins to accelerate. Which of the following functions models the object’s speed t-seconds after it begins to accelerate?

• s(t) = 20(1.15)^t

• s(t) = 15t + 20

• s(t) = 20(0.85)^t

• s(t) = (0.15)^t + 20

An exponential function of the form \( y = a(b)^x \) passes through the points (1, 3) and (3, 12). Which of the following is closest to the value of b for this function?

• b = 1.50

• b = 1.75

• b = 2.00

• b = 2.25