Real-World Linear Equations: Modeling Costs & Revenue

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the cost if you drive 150 miles?

• $60

• $30

• $90

• $120

A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. How much would it cost if you attend 8 classes?

• $80

• $60

• $50

• $100

A phone plan costs $25 per month plus $0.10 for each text message sent. Create a linear equation to model the total cost (C) based on the number of text messages (t) sent. If you send 200 messages, what is your total bill?

• $50

• $60

• $45

• $30

A store sells notebooks for $2 each and pens for $1 each. If you buy a total of 10 items for $16, write a system of linear equations to represent the situation. How many notebooks and pens did you buy?

• 6 notebooks and 4 pens

• 5 notebooks and 5 pens

• 10 notebooks and 0 pens

• 8 notebooks and 2 pens

A taxi charges a base fare of $3 plus $2 for every mile driven. Write a linear equation to represent the total fare (F) in terms of miles driven (d). If you traveled 5 miles, what would be your fare?

• $13

• $10

• $8

• $15

A gardener charges a flat fee of $50 for a visit and $15 per hour of work. Write a linear equation to model the total cost (C) based on hours worked (h). If the gardener works for 3 hours, what is the total cost?

• $70

• $95

• $80

• $110

A concert ticket costs $50, and there is a service fee of $5 per ticket. Write a linear equation to represent the total cost (C) for buying t tickets. How much would it cost for 4 tickets?

• $180

• $250

• $200

• $220

A delivery service charges a fee of $10 plus $1.50 per mile. Write a linear equation to represent the total cost (C) based on the distance (d) in miles. If the delivery is 10 miles away, what is the total cost?

• $15

• $30

• $25

• $20

A school is selling tickets for a play at $8 each. If they sell 50 tickets, write a linear equation to represent the total revenue (R) from ticket sales. What is the total revenue from selling 50 tickets?

• $450

• $300

• $500

• The total revenue from selling 50 tickets is $400.

A local bakery sells cupcakes for $3 each and cookies for $2 each. If you buy a total of 12 items for $30, write a system of linear equations to find out how many cupcakes and cookies you bought.

• x + y = 12, 3x + 2y = 30

• x + y = 10, 3x + 2y = 25

• x + y = 15, 3x + 2y = 35

• x + y = 12, 2x + 3y = 30