Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathComparing Functions in the Real World

Comparing Functions in the Real World — Unit test Answers

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Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base membership fee, plus they charge a rate per class. The two graphs show the cost for taking online classes through the two websites.Which statement best describes the functions that model the costs to take classes at each site?

Question illustration
A
LearnCenter charges a higher membership fee and a higher rate per class.
B
LearnCenter charges a higher membership fee but a lower rate per class.
C
LearnCenter charges a lower membership fee but a higher rate per class.
D
LearnCenter charges a lower membership fee and a lower rate per class.
3

A computer technician charges a flat base fee plus an hourly rate for all repairs. Last year, she used the formula to determine the cost in dollars, y, of a repair that required x hours of work. If she doubles her base fee this year, what equation should she use to determine the new cost of an x-hour repair?

Question illustration
A
y = 18 x + 44
Option A
B
y = 36 x + 22
Option B
C
y = 36 x + 44
Option C
D
2 y = 18 x + 22
Option D
4

The point-slope form of a line that has a slope of and passes through point (6, 0) is shown below.What is the equation in slope-intercept form?

Question illustration
A
y = two-thirds x minus 12
Option A
B
y = two-thirds x minus 6
Option B
C
y = two-thirds x minus 4
Option C
D
y = two-thirds x minus 8
Option D
5

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

Question illustration
A
y = 2 x minus 4
Option A
B
y = 2 x minus 3
Option B
C
y = 2 x + 3
Option C
D
y = 2 x + 4
Option D
6

The value of a baseball card can be represented by the equation , where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?

Question illustration
A
$3
B
$13
C
$36
D
$39
7

The equation of the line that passes through points and is shown below. What value is missing from the equation?y =

Question illustration
Answer:

3

8

Which equation represents the line that passes through points (0, 6) and (2, 0)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Inez has a phone card. The graph shows the number of minutes that remain on her phone card after a certain number of days. The slope of the line that represents the data is –50, and the y-intercept is 850. What do the slope and y-intercept represent in Inez’s situation?

Question illustration
A
The y-intercept indicates that the phone card started with 850 minutes. The slope indicates that 50 minutes were used per day.
B
The y-intercept indicates that the phone card started with 50 minutes. The slope indicates that 850 minutes were used per day.
C
The slope indicates that the phone card started with 850 minutes. The y-intercept indicates that 50 minutes were added per day.
D
The slope indicates that the phone card started with 50 minutes. The y-intercept indicates that 850 minutes were added per day.
10

Consider the linear function that is represented by the equation and the linear function that is represented by the equation . Which statement is correct regarding their slopes and y-intercepts?

Question illustration
A
The function that is represented by the equation has a steeper slope and a greater y-intercept.
Option A
B
The function that is represented by the equation has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Option B
C
The function that is represented by the equation has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Option C
D
The function that is represented by the equation has a steeper slope and a greater y-intercept.
Option D
11

What can be concluded about a line that passes through the points and ? Check all that apply.

Question illustration
T
The slope is 0.
T
The y-intercept is .
Option T
T
The line is vertical.
T
The line is horizontal.
T
The line has no y-intercept.
T
The equation of the line is .
Option T
12

Jill converted the equation of the line into slope-intercept form and found the slope and y-intercept of the line as follows.What was her mistake?

Question illustration
A
She mixed up the slope and the y-intercept.
B
She got the sign of the slope wrong.
C
She got the sign of the y-intercept wrong.
D
She found the reciprocals of the slope and the y-intercept.
13

What is the point-slope form of a line that has a slope of and passes through point (–7, 2)?

Question illustration
A
2 minus y = one-half (7 minus x)
Option A
B
7 minus y = one-half (negative 2 minus x)
Option B
C
y minus 7 = one-half (X minus 2)
Option C
D
y minus 2 = one-half (x minus (negative 7))
Option D
14

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?

n
neither Grace nor Roger
o
only Grace
o
only Roger
b
both Grace and Roger
15

What are the slope and the y-intercept of the linear function that is represented by the table?xy–1003

Question illustration
A
The slope is –3, and the y-intercept is .
Option A
B
The slope is –3, and the y-intercept is .
Option B
C
The slope is 3, and the y-intercept is .
Option C
D
The slope is 3, and the y-intercept is .
Option D

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