Real-World Decisions: Analyzing Costs with Equations

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $25 plus $0.25 per mile. How many miles must you drive for both companies to charge the same amount? Interpret the solution in the context of choosing a rental company.

• 120 miles

• 50 miles

• 75 miles

• 100 miles

A local gym charges a monthly fee of $40 plus $5 for each class attended. Another gym charges a monthly fee of $30 with no class fees. How many classes would you need to attend for both gyms to cost the same? Analyze the real-world scenario of gym memberships.

• 5

• 1

• 0

• 10

A phone plan costs $50 per month plus $0.10 per text message. Another plan costs $40 per month with unlimited texts. How many text messages would you need to send for both plans to cost the same? Interpret the solution in the context of choosing a phone plan.

• 10

• 0

• 20

• 5

A bakery sells cupcakes for $3 each and cookies for $2 each. If you want to spend a total of $30, how many cupcakes and cookies can you buy? Analyze the real-world scenario of budgeting for treats.

• (5 cupcakes, 5 cookies)

• Possible combinations: (0 cupcakes, 15 cookies), (2 cupcakes, 12 cookies), (4 cupcakes, 9 cookies), (6 cupcakes, 6 cookies), (8 cupcakes, 3 cookies), (10 cupcakes, 0 cookies).

• (1 cupcake, 14 cookies)

• (7 cupcakes, 2 cookies)

A school is planning a field trip. The cost per student is $15 for transportation and $10 for admission. Another option is $20 for transportation and $5 for admission. How many students need to attend for both options to cost the same? Interpret the solution in the context of planning a field trip.

• Any number of students will result in the same total cost for both options.

• At least 10 students are needed for both options to cost the same.

• The first option is always cheaper regardless of the number of students.

• Both options will never have the same total cost.

A concert venue charges $50 for a ticket and $10 for parking. Another venue charges $40 for a ticket and $15 for parking. How many tickets would you need to buy for both venues to cost the same? Analyze the real-world scenario of attending concerts.

• 1

• 4

• 3

• 2

A landscaping company charges $200 for a basic service plus $50 for each additional hour. Another company charges $150 for the basic service and $75 for each additional hour. How many hours of service would make both companies charge the same? Interpret the solution in the context of hiring a landscaping service.

• 4 hours

• 5 hours

• 2 hours

• 3 hours

A subscription service charges $12 per month plus $2 for each movie rented. Another service charges $10 per month with no rental fees. How many movies would you need to rent for both services to cost the same? Analyze the real-world scenario of choosing a movie rental service.

• 0

• 3

• 2

• 1

A delivery service charges $5 for delivery plus $1 per item. Another service charges $3 for delivery and $2 per item. How many items would you need to order for both services to cost the same? Interpret the solution in the context of choosing a delivery service.

• 1

• 2

• 3

• 4

A tutoring service charges $25 per hour plus a one-time registration fee of $15. Another service charges a flat fee of $50 for the first hour and $20 for each additional hour. How many hours of tutoring would make both services cost the same? Analyze the real-world scenario of selecting a tutoring service.

• 3 hours

• 2 hours

• 4 hours

• 5 hours