22.
(03.02 MC)
The table below shows the outputs y for different inputs x:
Input
(x) 1 1 3 3
Output
(y) 4 2 12 6
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a paddle boat for x hours is shown below:
f(x) = 20 + 10x
What is the value of f(120), and what does f(120) represent? (5 points)
(10 points)
23.
(01.03 MC)
Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely? (5 points)
[1 foot = 12 inches]
24.
(04.05 MC)
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −3(1.02)x
x g(x)
−1 −5
0 −3
1 −1
2 1
Which statement best compares the y-intercepts of f(x) and g(x)? (5 points)
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
25.
(03.05 MC)
Lisa was trying to park her car. She moved her car forward at a constant velocity for 5 seconds, and then backward at a constant velocity for 10 seconds. She then moved her car forward again at a constant velocity for the next 5 seconds, and then she stopped. Which of the following graphs could represent the motion of Lisa's car? (5 points)
First straight line joins ordered pairs 0, 0 and 5, 20, second straight line joins 5, 20 and 15, 10, third straight line joins 15, 10 and 20, 40, and fourth straight line joins 20, 40 and 50, 0
First straight line joins ordered pairs 0, 0 and 5, 20, second straight line joins 5, 20 and 15, 30, third straight line joins 15, 30 and 20, 40, and fourth straight line joins 20, 40 and 50, 40
First straight line joins ordered pairs 0, 0 and 5, 40, second straight line joins 5, 40 and 15, 45, third straight line joins 15, 45 and 20, 15, and fourth straight line joins 20, 15 and 50, 15
First straight line joins ordered pairs 0, 0 and 5, 20, second straight line joins 5, 20 and 15, 10, third straight line joins 15, 10 and 20, 40, and fourth straight line joins 20, 40 and 50, 40
26.
(02.03 MC)
Solve for x: 3|2x − 2| + 6 = 18. (5 points)
x = 3, x = −3
x = 3, x = −1
x = 1, x = −1
x = −3, x = 1
27.
(05.02 LC)
What is the value of x in the solution to the following system of equations? (5 points)
x − y = −3
x + 3y = 5
28.
(01.01 LC)
Evaluate 20 + 16 ÷ 2 − 5. (5 points)
13
18
14
23