Nonlinear Functions

A rectangular volleyball court has an area of 162 square meters. If the length of the court is twice the width, what is the width of the court, in meters?

• 9

• 18

• 27

• 54

The function S(t) = 3000(1 + r)^t models the annual salary, in dollars, of an employee t years after starting a job, where r is a constant. If the employee’s salary increases 4% each year, what is the value of r?

• 0.04

• 0.4

• 1.04

• 1.4

A person purchased a certain coin on January 1, 2010, for $1,027. According to S = C (1 + r)^t, where S is the value of the coin t years after purchase, C is the original cost, and r is the annual rate of appreciation, the value of the coin on January 1, 2015, was $1,317. Which of the following statements is true?

• A. When the coin’s value is predicted to be approximately $1,400, it is 5 years after the predicted value is $1,317.

• B. When the coin’s value is predicted to be approximately $1,400, it is 10 years after the predicted value is $1,317.

• C. If the rate of annual appreciation of the coin is 5%, then 10 years after the person purchased the coin, its predicted value is approximately $1,600.

• D. If the rate of annual appreciation of the coin is 5%, then 10 years after the person purchased the coin, its predicted value is approximately $1,700.

• E. 10 years after the person purchased the coin, its predicted value is approximately $2,000.

From 2000 through 2010, the number of music CDs sold in the United States decreased by approximately 8% per year. The number of music CDs sold in 2000 was 942.5 million. Which of the following is closest to the number of music CDs sold in 2010, in millions?

• A. 400.5

• B. 405.5

• C. 450.5

• D. 500.5

• E. 550.5

In the xy-plane, the y-coordinate of the y-intercept of the graph of the function f is c. Which of the following must be equal to c?

• f(0)

• f(1)

• f(2)

• f(3)

For the function f defined above, what is the value of f(−1)?

• −11

• −7

• 7

• 11

An object's kinetic energy, in joules, is equal to the product of one-half the object's mass, in kilograms, and the square of the object's speed, in meters per second. What is the speed, in meters per second, of an object with a mass of 4 kilograms and kinetic energy of 18 joules?

• 3

• 6

• 9

• 36

A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the previous year. Which of the following functions models the relationship between the number of students enrolled, F(t), and the number of years after 2015, t?

• F(t) = 0.02(3,000)^t

• F(t) = 0.98(3,000)^t

• F(t) = 3,000(0.02)^t

• F(t) = 3,000(0.98)^t

A rubber ball bounces upward one-half the height it has fallen each time it hits the ground. If the ball was originally dropped from a height of 20 feet above the ground, what is the maximum possible distance, in feet, between the ball and the ground from the time it hit the ground?

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If the given function $ f $ is graphed in the xy-plane, what is an x-intercept of the graph?

• (-12, 0)

• (-30, 0)

• (30, 0)

• (12, 0)