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

Comparing Functions in the Real World Answers

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The table shows the cost for taxi rides of various distances.Cost of Taxi RidesDistance, in miles (x)Cost, in dollars (y)51682510311237Which graph displays the same function?

A
A graph has distance (miles) on the x-axis and cost (dollars) on the y-axis. A line goes through (1, 3) and (2, 6).
Option A
B
A graph has distance (miles) on the x-axis and cost (dollars) on the y-axis. A line goes through (1, 4) and (2, 7).
Option B
C
A graph has distance (miles) on the x-axis and cost (dollars) on the y-axis. A line goes through (0, 3) and (2, 5).
Option C
D
A graph has distance (miles) on the x-axis and cost (dollars) on the y-axis. A line goes through (3, 2) and (6, 3).
Option D
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Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result?

A
Those two vendors charge the same rate per shirt.
B
Those two vendors charge the same flat rate for artwork.
C
Those two vendors will have the same total cost to produce one shirt.
D
Those two vendors will charge the same total cost for any size job.
3

Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?

A
The x-intercepts of the two lines
B
The y-intercepts of the two lines.
C
The slopes of the two lines.
D
The coordinates of a point of intersection.
4

The table shows the distance that two trains are from Center Station at various times of the day. Miles From Center StationTime of dayTrain 1Train 211:3013712:00312712:455857How do the speeds of the trains compare?

A
Train 1 is traveling 1 mile per hour faster than train 2.
B
Train 1 is traveling 6 miles per hour faster than train 2.
C
Train 2 is traveling 4 miles per hour faster than train 1.
D
Train 2 is traveling 5 miles per hour faster than train 1.
5

Ashley started the year with 45 comic books. Each month, she adds 5 more comic books to her collection. Which table correctly represents y, the number of comic books in her collection, after x months?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 5, 50, 95, 140.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 45, 50, 55, 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 46, 47, 48.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 90, 135, 180.
Option D
6

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table.Total Cost of Fitness Club MembershipLength of membershipClub 1Club 2Club 36 months$108$120$12612 months$216$210$25224 months$432$390$504How many of the clubs require new members to pay a one-time membership fee?

A
0
B
1
C
2
D
3
7

Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.Repair Cost FormulasElectricianCost in y dollars for an x-hour service123Which statement is best supported by the table?

Question illustration
A
Each electrician charges a different hourly rate.
B
Each electrician charges a different base fee.
C
All three electricians charge the same hourly rate.
D
All three electricians charge the same base fee.
8

Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.Which statement is best supported by the graph?

Question illustration
A
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
B
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
C
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
D
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
9

Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time.Total Cost of RepairsHours needed for repairCost for plumberACost for plumberBCost for plumberCCost for plumberD1$35$55$50$502$65$75$75$603$95$95$100$70Which plumber charges the greatest hourly rate?

A
plumber A
B
plumber B
C
plumber C
D
plumber D

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