Slope-Intercept Form: Real-World Word Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m).

• C = 20m + 0.15

• C = 0.15m - 20

• C = 20 + 0.15m^2

• C = 0.15m + 20

A local gym has a membership fee of $50 and charges $10 per class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended.

• C = 50 + 10c - 5

• C = 10c - 50

• C = 50c + 10

• C = 10c + 50

A gardener is planting flowers in a straight line. The cost of planting is $30 plus $5 for each flower. Write the equation in slope-intercept form for the total cost (C) based on the number of flowers (f) planted.

• C = 5 + 30f

• C = 5f + 30

• C = 30f + 5

• C = 30 + 10f

A delivery service charges a base fee of $5 and $2 for each package delivered. If you graph the total cost (C) against the number of packages (p), what is the slope and y-intercept of the line?

• Slope: 5, Y-intercept: 2

• Slope: 2, Y-intercept: 5

• Slope: 0, Y-intercept: 5

• Slope: 2, Y-intercept: 10

A phone plan costs $25 per month plus $0.10 per text message sent. Write the equation in slope-intercept form for the total monthly cost (C) based on the number of text messages (t) sent.

• C = 25 + 0.05t

• C = 25t + 0.10

• C = 25 + 0.10t

• C = 0.10 + 25t

A school is selling tickets for a play. The tickets cost $8 each, and there is a $50 fee for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets (n) sold.

• R = 8n - 50

• R = 8n + 50

• R = 50n + 8

• R = 50 - 8n

If a bike rental shop charges $15 for the first hour and $5 for each additional hour, write the equation in slope-intercept form for the total cost (C) based on the number of hours (h) rented.

• C = 15h

• C = 10h + 5

• C = 20 + 5h

• C = 5h + 10

A taxi company charges a flat rate of $3 plus $2 per mile. If you graph the total fare (F) against the miles traveled (m), what does the slope represent?

• The slope represents the total fare charged.

• The slope represents the initial flat rate of $3.

• The slope represents the distance traveled in miles.

• The slope represents the cost per mile, which is $2.

A bookstore sells notebooks for $2 each and has a $10 membership fee. Write the equation in slope-intercept form for the total cost (C) based on the number of notebooks (n) purchased.

• C = 2n - 10

• C = 2n + 5

• C = 10n + 2

• C = 2n + 10

A concert venue charges $100 for renting the space plus $20 for each hour of use. Write the equation in slope-intercept form for the total cost (C) based on the number of hours (h) the venue is rented.

• C = 100 + 20h + 50

• C = 100h + 20

• C = 20h + 100

• C = 20h - 100