Finding Variables & Writing Equations in Real-Life Scenarios

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost (C) of renting a car for x miles.

• C = 0.15 + 20x

• C = 20 - 0.15x

• C = 20 + 0.10x

• C = 20 + 0.15x

A bakery sells cupcakes for $3 each and charges a $5 delivery fee. Write an equation to represent the total cost (C) for buying y cupcakes.

• C = 3y + 5

• C = 5y + 3

• C = 3y - 5

• C = 3y + 10

A gym membership costs $30 per month plus a one-time registration fee of $50. Write an equation to represent the total cost (C) for m months of membership.

• C = 30 + 50m

• C = 30m - 50

• C = 50m + 30

• C = 30m + 50

A phone plan costs $25 per month plus $0.10 for each text message sent. Write an equation to represent the total cost (C) for t text messages in one month.

• C = 25t + 0.10

• C = 0.10 + 25t

• C = 25 + 0.05t

• C = 25 + 0.10t

A school is selling tickets for a play at $8 each. If they sell 50 tickets, how much money (M) will they make? Write an equation to represent this scenario.

• M = 500

• M = 300

• M = 200

• M = 400

A gardener charges $15 per hour for landscaping services. Write an equation to represent the total cost (C) for h hours of work.

• C = h/15

• C = 15h

• C = 10h

• C = 20h

A delivery service charges a base fee of $10 plus $2 for each package delivered. Write an equation to represent the total cost (C) for d packages delivered.

• C = 2 + 10d

• C = 10d + 2

• C = 10 + 2d

• C = 10 + d

A concert ticket costs $50, and there is a service fee of $5. Write an equation to represent the total cost (C) for buying t tickets.

• C = 50t + 10

• C = 50t + 5

• C = 55t

• C = 50t

A local pool charges a $10 entry fee and $2 for each hour spent swimming. Write an equation to represent the total cost (C) for h hours at the pool.

• C = 10 - 2h

• C = 2h - 10

• C = 10 + 2h

• C = 10h + 2

A taxi company charges a flat rate of $3 plus $2 per mile. Write an equation to represent the total fare (F) for traveling m miles.

• F = 2m + 3

• F = 5 + 2m

• F = 3 + 2m

• F = 3m + 2