Slope & Intercept: Word Problems for 8th Grade Practice

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation that represents the total cost (C) in terms of miles driven (m). What is the slope and intercept?

• C = 20 + 0.15m; slope = 0.15, intercept = 20

• C = 20 + 0.10m; slope = 0.10, intercept = 20

• C = 15 + 0.15m; slope = 0.15, intercept = 15

• C = 20 + 0.20m; slope = 0.20, intercept = 20

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 30 + 10c; Slope: 10, Intercept: 30

• C = 30 + 5c; Slope: 5, Intercept: 30

• C = 5 + 30c; Slope: 30, Intercept: 5

• C = 30c + 5; Slope: 30, Intercept: 5

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (t) sent. What do the slope and intercept represent?

• C = 0.10t; Slope: 0.10 (cost per text), Intercept: 0 (base cost)

• C = 25 + 0.10t; Slope: 0.10 (cost per text), Intercept: 25 (base cost)

• C = 25t + 0.10; Slope: 25 (base cost), Intercept: 0.10 (cost per text)

• C = 0.10 + 25t; Slope: 25 (cost per text), Intercept: 0.10 (base cost)

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation for the total delivery cost (D) based on the miles (m) driven. Identify the slope and intercept.

• D = 5 + 2m; slope = 2, intercept = 5

• D = 10 + 1m; slope = 1, intercept = 10

• D = 10 + 2m; slope = 2, intercept = 10

• D = 10 + 3m; slope = 3, intercept = 10

A school is selling tickets for a play. The tickets cost $5 each, and there is a $50 flat fee for the venue. Write the equation for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

• R = 5t + 100; slope = 5, intercept = 100

• R = 5t + 50; slope = 5, intercept = 50

• R = 5t - 50; slope = 5, intercept = -50

• R = 10t + 50; slope = 10, intercept = 50

A gardener charges a flat fee of $40 for a visit and $15 per hour of work. Write the equation for the total cost (C) based on the hours worked (h). Identify the slope and intercept.

• C = 15 + 40h; Slope: 40, Intercept: 15

• C = 40h + 15; Slope: 40, Intercept: 15

• C = 40 + 15h; Slope: 15, Intercept: 40

• C = 40 + 10h; Slope: 10, Intercept: 40

A subscription service charges $10 per month plus $2 for each movie rented. Write the equation for the total cost (C) based on the number of movies rented (m). What do the slope and intercept indicate?

• C = 10 + 2m

• C = 10 + m

• C = 10m + 2

• C = 2m

A local bakery sells cupcakes for $3 each and has a daily overhead cost of $50. Write the equation for the total sales (S) based on the number of cupcakes sold (c). Identify the slope and intercept.

• S = 3c - 50; slope = 3, intercept = -50

• S = 3c + 50; slope = 3, intercept = 50

• S = 5c - 50; slope = 5, intercept = -50

• S = 3c - 30; slope = 3, intercept = -30

A taxi company charges a base fare of $2.50 and $1.50 per mile. Write the equation for the total fare (F) based on the miles traveled (m). What is the slope and intercept?

• F = 1.50m; slope = 2.50, intercept = 1.50

• F = 2.50 + 2.00m; slope = 2.00, intercept = 2.50

• F = 2.50 + 1.50m; slope = 1.50, intercept = 2.50

• F = 2.50m + 1.50; slope = 2.50, intercept = 1.50

A concert venue charges a flat fee of $1000 for renting the space and $5 per ticket sold. Write the equation for the total income (I) based on the number of tickets sold (t). Identify the slope and intercept.

• I = 5t; Slope: 0, Intercept: 5

• I = 1000 + 10t; Slope: 10, Intercept: 1000

• I = 1000 + 5t; Slope: 5, Intercept: 1000

• I = 1000 - 5t; Slope: -5, Intercept: 1000