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WorksheetsNonlinear Functions
Total questions: 15
Worksheet time: 10mins
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?
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)
According to Moore's law, the number of transistors incorporated on microprocessors doubles every 2 years. In 1965, a microprocessor was introduced that had 2250 transistors. Based on this information, in which of the following years does Moore's law estimate the number of transistors to reach 1 million?
1987
1989
1991
1994
The function $ h(t) = -16t^2 + 110t + 72 $ models the height $ h $, in feet, of an object above ground seconds after being launched straight up in the air. What does the number 72 represent in the function?
The initial height, in feet, of the object
The maximum height, in feet, of the object
The initial speed, in feet per second, of the object
The maximum speed, in feet per second, of the object
The area, in square centimeters, of a rectangular painting can be represented by the expression $ w(w + 29) $, where $ w $ is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting?
w
29
(w + 29)
(w - 29)
The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the xy-plane?
A. (-4, 0)
B. (-3/2, 0)
C. (3, 0)
D. (1/2, 0)
There were no jackrabbits in Australia before 1788 when 24 jackrabbits were introduced. By 1930 the population of jackrabbits had reached 10 billion. If the population had grown exponentially, this corresponds to a 26% increase, on average, in the population each year. Which of the following functions best models the population p(t) of jackrabbits t years after 1788?
A. p(t) = 182(24)^t
B. p(t) = 24(2.26)^t
C. p(t) = 24(1.26)^t
D. p(t) = 24(1.182)^t
