8th Grade Linear Equations: Real-World Cost Challenges

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an expression for the total cost (C) in terms of the number of miles (m) driven. Evaluate the expression for 150 miles.

• 80

• $150

• $30

• $100

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write an equation to represent the total cost (C) for attending x classes in a month. How much would it cost to attend 10 classes?

• $100

• $80

• $50

• $60

A gardener charges $15 for a visit plus $10 for each hour worked. Write an equation for the total cost (C) based on the number of hours (h) worked. If the gardener worked for 3 hours, what is the total cost?

• $45

• $30

• $25

• $60

A phone plan costs $25 per month plus $0.10 for each text message sent. Write an expression for the total cost (C) in terms of the number of text messages (t) sent. How much would it cost if 200 text messages are sent?

• $30

• $60

• $45

• $50

A school is selling tickets for a play. Each ticket costs $8, and they want to raise $400. Write an equation to find the number of tickets (t) that need to be sold. How many tickets must be sold?

• 40

• 60

• 70

• 50

A delivery service charges a base fee of $10 plus $2 for each mile driven. Write an equation for the total cost (C) based on the distance (d) in miles. If the delivery is 5 miles away, what is the total cost?

• $20

• $30

• $25

• $15

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write an equation to represent the total revenue (R) from selling t tickets. How much revenue is generated if 300 tickets are sold?

• 5000

• 4000

• 7000

• 6000

A bookstore sells notebooks for $3 each and pens for $2 each. Write an expression for the total cost (C) of buying n notebooks and p pens. If a student buys 4 notebooks and 3 pens, what is the total cost?

• 12

• 15

• 18

• 20

A taxi company charges a flat rate of $2.50 plus $1.50 per mile. Write an equation for the total fare (F) based on the number of miles (m) driven. If a ride is 10 miles, what is the total fare?

• $15.00

• $17.50

• $12.50

• $20.00

A factory produces x toys per hour. If each toy costs $5 to make, write an expression for the total cost (C) of producing x toys. How much does it cost to produce 100 toys?

• $300

• $1000

• $500

• $700