AnswersWCPSS-Introductory Math CRApplying Linear Functions

Applying Linear Functions — Unit test Answers

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1
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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. What is the slope of the line?

Question illustration
A
–2
B
Negative one-half
Option B
C
StartFraction 7 Over 16 EndFraction
Option C
D
StartFraction 39 Over 30 EndFraction
Option D
2
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Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B?

Question illustration
A
The initial values of the two functions are different, and the rates of change of the two functions are also different.
B
The initial values of the two functions are different, and the rates of change of the two functions are the same.
C
The initial values of the two functions are the same, and the rates of change of the two functions are different.
D
The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
3

Mrs. Jacobson asked her students to write a word problem that describes the graph below.Which word problem accurately describes the graph?

Question illustration
A
Jamie has $8, and she pays $2 per day to ride the bus.
B
Melinda has $4 and earns $2 allowance per day doing chores.
C
Carrina has $8, and she earns $2 per day babysitting.
D
Louise has $4, and she pays $2 per day for school lunch.
4

Which linear function has the steepest slope?

A
On a coordinate plane, a line goes through points (0, 1) and (1, negative 2).
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 6, 9, 12. Column 2 is labeled y with entries 10, 13, 16, 19.
Option B
C
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
Option D
5

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, xCost, y28.50515.25822.001231.00What is the y-intercept of this function?

A
2.25
B
4.00
C
6.50
D
17.13
6

The slope of the graph of the equation is 2. What is the y-intercept?y-intercept =

Question illustration
Answer not available
7

Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. What was Brooke’s error?

Question illustration
A
She found the incorrect slope in step 1.
B
She mixed up the x- and y-coordinates when she plugged in the point in step 2.
C
She found the incorrect y-intercept in step 2.
D
She mixed up the slope and y-intercept when she wrote the equation in step 3.
8

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Option D
9

A line passes through the points (–1, 10) and (3, 2). Which shows the graph of this line?

A
On a coordinate plane, a line goes through points (0, 8) and (4, 0).
Option A
B
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Option B
C
On a coordinate plane, a line goes through points (2, negative 4) and (4, 8).
Option C
D
On a coordinate plane, a line goes through points (negative 4, 2) and (8, 4).
Option D
10

Which linear function has the same y-intercept as the one that is represented by the graph?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.
Option D
11

What are the slope and the y-intercept of the linear function that is represented by the table?xy–3180123660

A
The slope is –2, and the y-intercept is 6.
B
The slope is –2, and the y-intercept is 12.
C
The slope is 2, and the y-intercept is 6.
D
The slope is 2, and the y-intercept is 12.
12

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?Amount in Juanita’s Savings AccountNumber of Months Working at Part-Time Job02468Amount in Savings Account (in dollars)$36$60$84$108$132

A
$12 per month
B
$18 per month
C
$24 per month
D
$36 per month
13

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?Richard’s Distance Past the Start LineTime (minutes)510152025Distance (kilometers)2.83.44.04.65.2

Question illustration
A
Gloria’s time was 0.5 minutes faster.
B
Richard’s time was 0.5 minutes faster.
C
Gloria’s time was 2.5 minutes faster.
D
Richard’s time was 2.5 minutes faster.
14

What is the slope of the line represented by the points in the table?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?Amount of Money in a Tip Jar at a Dry CleanersNumber of Hours Since Dry Cleaners Opened45678Amount of Money in Tip Jar ($)15.5018.2521.0023.7526.50

A
$1.75
B
$2.75
C
$4.50
D
$7.25
16

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

A
y = 12x + 0.75
B
y = 0.75x + 12
C
y = 12x – 0.75
D
y = 0.75x – 12
17

Which line has an equation of in slope-intercept form?

Question illustration
A
a line passing through the points (1, 9) and (3, 19)
B
a line passing through the points (2, –14) and (4, –24)
C
a line passing through the points (1, 1) and (3, 11)
D
a line passing through the points (2, –6) and (4, –16)
18

The table of values below represents a linear function and shows the number of miles on the odometer of Brian’s moped since he started riding it. What is Brian’s speed?Miles on the Odometer of Brian’s MopedNumber of Minutes Brian Has Been Riding Moped0481216Number of Miles Traveled3.254.255.256.257.25

A
0.25 miles per minute
B
1 mile per minute
C
3.25 miles per minute
D
4 miles per minute
19

The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and why?x036912y37111519

A
(18, 27), because the rate of change of the function is
Option A
B
(18, 27), because the rate of change of the function is
Option B
C
(27, 18), because the rate of change of the function is
Option C
D
(27, 18), because the rate of change of the function is
Option D
20

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value?Gas in Marco’s CarSeconds Spent Pumping Gas012243648Gallons of Gas in Car357911

A
0 gallons
B
2 gallons
C
3 gallons
D
6 gallons

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