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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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
2
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Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days?

A
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 330).
Option A
B
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 0) and (2, 30).
Option B
C
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (3, 240).
Option C
D
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270).
Option D
3

Regina is comparing the cost to rent a car from four different companies. She found that the cost to rent from each company can be modeled by a linear function of the number of miles driven. The formulas for each company are shown in the table.Daily Cost to Rent a Car Driven x MilesCompanyCost in dollars1234Which statement is best supported by the table?

Question illustration
A
Company 1 and company 4 charge the same rate per mile.
B
Company 2 and company 3 charge the same rate per mile.
C
Company 2 charges only a flat fee and does not charge per mile.
D
Company 3 charges only a flat fee and does not charge per mile.
4

In 2010, Washington Township created recreational soccer programs for the spring and fall seasons. The table shows the number of participants who registered for each season during the first four years.Participation in Town Soccer ProgramsYearSpring leagueFall league2010681452011791482012901512013101154Which statement best describes the programs?

A
Participation in the spring league is increasing more than twice as fast as participation in the fall league.
B
Participation in the spring league is increasing at a slightly faster rate than participation in the fall league.
C
Participation in the fall league is increasing more than twice as fast as participation in the spring league.
D
Participation in the fall league is increasing at a slightly faster rate than participation in the spring league.
5

The libraries in four counties assess late fees for overdue videos by using linear functions. Each library charges a base amount plus a penalty for the number of weeks that the video is overdue. The equations that model the cost, y, in dollars for videos that are x weeks overdue are shown in the table.Late Fee EquationsCounty libraryLate fee functionCumberlandLincolnOceanSummitWhich two county libraries charge the same penalty per week?

Question illustration
A
Cumberland and Lincoln
B
Lincoln and Ocean
C
Lincoln and Summit
D
Ocean and Summit
6

The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table.Total Cost, Including Membership Fee, to Board a DogType of membership1 Day2 Days7 DaysSilver$36$72$252Gold$70$90$190What is the cost of a Gold membership?

A
$20
B
$34
C
$50
D
$70
7

A scientist created a scatter plot to represent the heights of four plants over time. Then, she found a line of best-fit to model the height in centimeters of each plant after x days. The equations of each trend line are given in the table.Trend Line EquationsPlantEquation of trend line1234According to the trend line equations, which plants are growing at the same rate per day?

Question illustration
A
1 and 2
B
1 and 4
C
2 and 3
D
2 and 4
8

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
9

The cost to produce a bag of golf tees is modeled by the function that is graphed below. Production Costs for Bags of Golf TeesWhich table shows this same function?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries negative 8, negative 4, 0, 4.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 0, 4, 0, 4.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 4, 5, 6, 7.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 4, 8, 12, 16.
Option D
10

Amelia and Carmen read every night. Amelia reads the same number of pages each night. So does Carmen. The table shows the number of pages that each girl has left to read after 2, 4, 5, and 7 nights of reading their books.Pages Left to ReadNightsAmeliaCarmen222522441751605150128710064Whose book has the greater number of pages?

A
Amelia’s book has 1 more page.
B
Amelia’s book has 36 more pages.
C
Carmen’s book has 7 more pages.
D
Carmen’s book has 13 more pages.
11

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.
12

Regina is comparing the cost to rent a car from four different companies. She found that the cost to rent from each company can be modeled by a linear function of the number of miles driven. The formulas for each company are shown in the table.Daily Cost to Rent a Car Driven x MilesCompanyCost in dollars1234Which statement is best supported by the table?

Question illustration
A
Company 1 and company 4 charge the same rate per mile.
B
Company 2 and company 3 charge the same rate per mile.
C
Company 2 charges only a flat fee and does not charge per mile.
D
Company 3 charges only a flat fee and does not charge per mile.
13

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.
14

The cost to produce a bag of golf tees is modeled by the function that is graphed below. Production Costs for Bags of Golf TeesWhich table shows this same function?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries negative 8, negative 4, 0, 4.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 0, 4, 0, 4.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 4, 5, 6, 7.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 2, 4, 6. Column 2 is labeled y with entries 4, 8, 12, 16.
Option D
15

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
16

Louise is reading a 300-page book. She reads 15 pages every day. Which graph correctly displays y, the number of pages that Louise has left to read after x days?

A
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 330).
Option A
B
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 0) and (2, 30).
Option B
C
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (3, 240).
Option C
D
A graph titled How Much Louise Has Left to Read has days on the x-axis and pages on the y-axis. A line goes through (0, 300) and (2, 270).
Option D
17

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.
18

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.
19

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
20

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

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