Solving & Interpreting Graphs of Real-World Problems

A local bakery sells cupcakes and cookies. The total number of cupcakes and cookies sold in one day is 50. If the bakery sold 3 times as many cupcakes as cookies, how many of each were sold? Graph the equations and interpret the solution.

• 10 cookies and 30 cupcakes

• 5 cookies and 45 cupcakes

• 20 cookies and 30 cupcakes

• 15 cookies and 35 cupcakes

Tags

CCSS.8.EE.C.8C

A school is planning a field trip. The cost per student for the trip is $20, and the total cost for the trip is $600. If the school has 30 students, how many additional students would need to join to reduce the cost per student to $15? Graph the equations and interpret the solution.

• 5

• 10

• 20

• 15

Tags

CCSS.8.EE.C.7B

Two friends are saving money for a concert. Friend A saves $5 each week, while Friend B saves $10 each week. If they both start with $20, how many weeks will it take for them to have the same amount saved? Graph the equations and interpret the solution.

• 0 weeks

• 3 weeks

• 1 week

• 2 weeks

Tags

CCSS.8.EE.C.8C

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges a flat fee of $30 plus $0.25 per mile. How many miles must you drive for the costs to be the same? Graph the equations and interpret the solution.

• 200 miles

• 500 miles

• 400 miles

• 300 miles

A farmer has a total of 100 animals, consisting of chickens and cows. If there are 3 times as many chickens as cows, how many of each type of animal does the farmer have? Graph the equations and interpret the solution.

• 25 cows and 75 chickens

• 10 cows and 90 chickens

• 30 cows and 70 chickens

• 50 cows and 50 chickens

Tags

CCSS.8.EE.C.8C

A movie theater sells adult tickets for $12 and child tickets for $8. If the total revenue from ticket sales is $240 and the number of adult tickets sold is twice the number of child tickets sold, how many of each type of ticket were sold? Graph the equations and interpret the solution.

• 15 adult tickets and 3 child tickets were sold.

• 6 adult tickets and 6 child tickets were sold.

• 10 adult tickets and 5 child tickets were sold.

• 8 adult tickets and 12 child tickets were sold.

A gym offers two membership plans. Plan A costs $30 per month, while Plan B has a one-time fee of $100 and $10 per month. How many months will it take for the costs of both plans to be equal? Graph the equations and interpret the solution.

• 7 months

• 3 months

• 5 months

• 10 months

Tags

CCSS.8.EE.C.8C

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 10 books and spends $200, how many novels and textbooks did they buy? Graph the equations and interpret the solution.

• 4 novels and 6 textbooks

• 5 novels and 5 textbooks

• 6 novels and 4 textbooks

• 3 novels and 7 textbooks

Tags

CCSS.8.EE.C.8C

A charity event sells tickets for $50 each and sponsorships for $200 each. If they want to raise $2000, how many tickets and sponsorships do they need to sell? Graph the equations and interpret the solution.

• (25 tickets, 1 sponsorship)

• (15 tickets, 3 sponsorships)

• (5 tickets, 5 sponsorships)

• The charity can sell combinations of tickets and sponsorships such as (0 tickets, 10 sponsorships), (10 tickets, 7 sponsorships), (20 tickets, 5 sponsorships), (30 tickets, 2 sponsorships), or (40 tickets, 0 sponsorships) to raise $2000.

A landscaping company charges a flat fee of $100 plus $50 per hour of work. Another company charges a flat fee of $150 plus $40 per hour. How many hours of work will make the costs the same? Graph the equations and interpret the solution.

• 5 hours

• 3 hours

• 7 hours

• 10 hours

Tags

CCSS.8.EE.C.8C