Exploring Slope and Intercept in Real-World Scenarios

1. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for both companies to cost the same?

• 150 miles

• 200 miles

• 250 miles

• 100 miles

2. A local gym offers a monthly membership for $40 and charges $5 per class. Another gym charges a $20 monthly fee and $8 per class. How many classes do you need to take for both gyms to cost the same?

• 3

• 10

• 5

• 7

3. A farmer sells apples for $2 per pound and oranges for $3 per pound. If he wants to earn $60, how many pounds of each fruit must he sell if he sells a total of 20 pounds?

• 5 pounds of apples and 15 pounds of oranges

• 20 pounds of apples and 0 pounds of oranges

• 10 pounds of apples and 10 pounds of oranges

• 0 pounds of apples and 20 pounds of oranges

4. Two friends are saving money to buy a video game. One saves $5 a week, while the other saves $3 a week but starts with $10. How many weeks will it take for both to have the same amount saved?

• 10 weeks

• 6 weeks

• 4 weeks

• 5 weeks

5. A school is planning a field trip. The cost per student is $15 for one bus and $10 for two buses. How many students can attend if the total cost is the same for both options?

• 0

• 15

• 10

• 5

6. A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 12 items and spends $30, how many of each item did they buy?

• 6 cupcakes and 6 cookies

• 10 cupcakes and 2 cookies

• 8 cupcakes and 4 cookies

• 4 cupcakes and 8 cookies

7. A phone company offers a plan for $50 a month with unlimited data, while another company charges $30 a month plus $10 for every GB used. How many GB must be used for both plans to cost the same?

• 3 GB

• 1 GB

• 5 GB

• 2 GB

8. A concert venue sells tickets for $25 each and has a fixed cost of $500. Another venue charges $15 per ticket with a fixed cost of $300. How many tickets must be sold for both venues to break even?

• 20

• 25

• 15

• 30

9. A bookstore sells novels for $10 each and textbooks for $20 each. If a customer buys a total of 5 books and spends $70, how many novels and textbooks did they buy?

• 1 novel and 4 textbooks

• 2 novels and 3 textbooks

• 3 novels and 2 textbooks

• 4 novels and 1 textbook

10. A delivery service charges a base fee of $4 plus $1.50 per mile. Another service charges a base fee of $2 plus $2 per mile. How many miles must be traveled for both services to cost the same?

• 4 miles

• 6 miles

• 2 miles

• 8 miles