Solving Real-World Functions: A Grade 8 Challenge

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges $25 plus $0.25 per mile. How many miles would you need to drive for both companies to cost the same?

• 120 miles

• 50 miles

• 100 miles

• 75 miles

A bakery sells cupcakes for $3 each and cookies for $2 each. If you buy a total of 12 items, how many of each can you buy if you want to spend exactly $30?

• 3 cupcakes and 9 cookies

• 6 cupcakes and 6 cookies

• 10 cupcakes and 2 cookies

• 4 cupcakes and 8 cookies

Two friends are saving money for a concert. Friend A saves $10 each week, while Friend B saves $15 each week. How many weeks will it take for Friend B to have $20 more than Friend A?

• 2 weeks

• 4 weeks

• 6 weeks

• 8 weeks

A phone plan charges $40 per month plus $0.10 per text message. Another plan charges $30 per month with unlimited texts. After how many text messages will the two plans cost the same?

• 20

• 10

• 5

• 0

A gardener is planting two types of flowers. Type A costs $5 per flower, and Type B costs $7 per flower. If the gardener has $50 to spend, how many of each type can be planted if he wants to plant a total of 10 flowers?

• 0 Type A flowers and 10 Type B flowers

• 10 Type A flowers and 0 Type B flowers

• 3 Type A flowers and 7 Type B flowers

• 5 Type A flowers and 5 Type B flowers

A movie theater sells tickets for $12 each and popcorn for $5. If a family of four wants to spend exactly $50 on tickets and popcorn, how many tickets and how much popcorn can they buy?

• 3 tickets and 1 popcorn

• 2 tickets and 2 popcorns

• 1 ticket and 3 popcorns

• 4 tickets and no popcorn

A subscription service charges $15 per month for basic access and $25 for premium access. If a user wants to compare costs over a year, how much more would the premium service cost than the basic service?

• $120

• $90

• $150

• $60

A school is selling T-shirts for $10 each and hoodies for $25 each. If they want to raise $500, how many of each item must they sell if they sell a total of 30 items?

• 10 T-shirts and 20 hoodies

• 25 T-shirts and 5 hoodies

• 16 T-shirts and 14 hoodies

• 5 T-shirts and 25 hoodies

A fitness center charges a $50 registration fee plus $30 per month. Another center charges a $20 registration fee plus $40 per month. After how many months will the costs be equal?

• 2 months

• 3 months

• 5 months

• 4 months

A bookstore sells novels for $15 each and textbooks for $40 each. If a student has $120 to spend, how many of each can they buy if they want to buy a total of 5 books?

• 3 novels and 2 textbooks

• 5 novels and 0 textbooks

• 4 novels and 1 textbook

• 2 novels and 3 textbooks