Linear Cost Equations: Identify Variables & Constants

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). Identify the variable and constant in your equation.

• C = 30 + 0.50m

• C = 30 + 0.20m

• C = 0.20 + 30m

• C = 30m + 0.20

A local gym charges a monthly membership fee of $50 and an additional $10 for each class attended. If you attend x classes in a month, write the equation for the total cost (T). What are the variables and constants?

• T = 50 + 5x

• T = 50 + 10x

• T = 50 - 10x

• T = 10 + 50x

A farmer sells apples for $2 each and has a fixed cost of $100 for supplies. Write an equation for the total revenue (R) from selling a certain number of apples (a). Identify the variables and constants in your equation.

• R = 100a

• R = 100 + 2a

• R = 2a - 100

• R = 2a

A school is planning a field trip and estimates the cost per student to be $15 plus a $200 bus fee. Write an equation for the total cost (C) for s students. What are the variables and constants?

• C = 20s + 150

• C = 10s + 250

• C = 15s + 200

• C = 15s - 200

A phone company offers a plan that costs $40 per month plus $0.10 per text message sent. Write an equation for the total monthly cost (M) in terms of the number of text messages (t). Identify the variables and constants.

• M = 40 + 0.05t

• M = 0.10 + 40t

• M = 40 + 0.10t

• M = 40t + 0.10

A bookstore sells notebooks for $3 each and has a fixed cost of $50 for supplies. Write an equation for the total cost (C) of buying n notebooks. Identify the variables and constants in your equation.

• C = 5n + 50

• C = 3n - 50

• C = 3n + 30

• C = 3n + 50

A concert venue charges a flat fee of $500 for renting the space and $20 per ticket sold. Write an equation for the total income (I) based on the number of tickets sold (t). What are the variables and constants?

• I = 20 + 500t

• I = 20t - 500

• I = 500t + 20

• I = 500 + 20t

A delivery service charges a base fee of $5 plus $1.50 per mile. Write an equation for the total delivery cost (D) in terms of miles driven (m). Identify the variables and constants in your equation.

• D = 5 + 2m

• D = 5m + 1.50

• D = 5 + 1.50m

• D = 1.50 + 5m

A subscription service charges $10 per month plus a one-time setup fee of $25. Write an equation for the total cost (C) for m months. Identify the variables and constants in your equation.

• C = 25m + 10

• C = 10 + 25m

• C = 10m - 25

• C = 10m + 25

A landscaping company charges a flat rate of $200 for a service plus $50 for each additional hour worked. Write an equation for the total cost (C) in terms of hours worked (h). Identify the variables and constants in your equation.

• C = 200 + 50h

• C = 50 + 200h

• C = 200 + 25h

• C = 200h + 50