Exploring Costs: Solving Equations & Graphing Changes

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent the total cost (C) based on the number of miles driven (m). What is the initial value and the rate of change?

• C = 30 + 0.20m; Initial value: 30; Rate of change: 0.20

• C = 50 + 0.20m; Initial value: 50; Rate of change: 0.20

• C = 50 + 0.10m; Initial value: 50; Rate of change: 0.10

• C = 50 + 0.50m; Initial value: 50; Rate of change: 0.50

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. If a member attends 4 classes in a month, what is their total cost? Graph the relationship between the number of classes and total cost.

• $50

• $60

• $70

• $40

A phone plan costs $25 per month plus $0.10 per text message. If a user sends 100 text messages in a month, how much will they pay? Determine the initial value and the rate of change, and represent this on a graph.

• $25

• $35

• $30

• $40

A bakery sells cupcakes for $3 each and has a fixed cost of $20 for supplies. Write the equation for the total revenue (R) based on the number of cupcakes sold (c). What is the initial value and the rate of change?

• R = 3c + 20; Initial value: 20; Rate of change: 0

• R = 20 + 3c; Initial value: 20; Rate of change: 3

• R = 3c; Initial value: 0; Rate of change: 3

• R = 3c; Initial value: 3; Rate of change: 0

A taxi service charges a base fare of $2.50 plus $1.50 per mile. If a ride covers 10 miles, what is the total fare? Identify the initial value and the rate of change, and plot this on a graph.

• $20.00

• $15.00

• $17.50

• $12.50

A subscription box service charges $15 per month plus $5 for each item included in the box. If a customer receives 3 items, what is their total cost? Write the equation and identify the initial value and rate of change.

• $25

• $35

• $20

• $30

A school is selling tickets for a play at $10 each, with a fixed cost of $100 for the venue. Write an equation for the total revenue (R) based on the number of tickets sold (t). What is the initial value and the rate of change?

• R = 10t - 100; Initial value: -100; Rate of change: 10

• R = 15t - 100; Initial value: -100; Rate of change: 15

• R = 5t + 100; Initial value: 100; Rate of change: 5

• R = 10t + 100; Initial value: 100; Rate of change: 10

A water company charges a monthly fee of $20 plus $0.05 per gallon of water used. If a household uses 500 gallons in a month, what is their total bill? Determine the initial value and the rate of change, and graph the relationship.

• $30

• $45

• $60

• $50

A concert venue charges $50 for a ticket and has a fixed cost of $2000 for the event. Write the equation for total revenue (R) based on the number of tickets sold (t). What is the initial value and the rate of change?

• R = 50t + 2000; Initial value = 2000; Rate of change = 0

• R = 2000 + 50t; Initial value = 2000; Rate of change = 50

• R = 50t; Initial value = 50; Rate of change = 0

• R = 50t; Initial value = 0; Rate of change = 50