Exploring Slope & Intercept in Real-Life Linear Costs

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the linear equation that represents the total cost (C) in terms of miles driven (m). Identify the slope and y-intercept.

• C = 50 + 0.50m; slope = 0.50; y-intercept = 50

• C = 50 + 0.20m; slope = 50; y-intercept = 0

• C = 100 + 0.20m; slope = 0.20; y-intercept = 100

• C = 50 + 0.20m; slope = 0.20; y-intercept = 50

Tags

CCSS.HSF.LE.B.5

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

• C = 5 + 30c

• C = 30 + 5c

• C = 30c + 5

• C = 30 - 5c

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the equation for the total monthly cost (C) based on the number of text messages (t) sent. Identify the slope and intercept.

• C = 40t + 0.10; slope = 40, intercept = 0.10

• C = 0.10 + 40t; slope = 40, intercept = 0.10

• C = 40 + 0.05t; slope = 0.05, intercept = 40

• C = 40 + 0.10t; slope = 0.10, intercept = 40

A delivery service charges a base fee of $25 plus $1.50 for each mile driven. Write the linear equation for the total delivery cost (C) based on the distance (d) in miles. What do the slope and intercept represent in this context?

• C = 20 + 1.5d

• C = 25 + 1.5d

• C = 30 + 1d

• C = 25 + 2d

A concert venue sells tickets for $50 each and has a fixed cost of $2000 for the event. Write the equation for the total revenue (R) based on the number of tickets sold (t). Identify the slope and intercept of this equation.

• R = 50t - 2000; slope = 50, intercept = -2000

• R = 50t; slope = 50, intercept = 0

• R = 50t + 2000; slope = 2000, intercept = 50

• R = 2000 + 50t; slope = 50, intercept = 2000

Tags

CCSS.HSF.LE.B.5

A bakery sells cupcakes for $3 each and has a daily fixed cost of $100. Write the linear equation for the total cost (C) based on the number of cupcakes (c) sold. What do the slope and intercept indicate?

• C = 3c - 100

• C = 3c + 100

• C = 100c + 3

• C = 5c + 100

A taxi service charges a flat rate of $2.50 plus $0.75 per mile. Write the equation for the total fare (F) based on the number of miles (m) driven. Identify the slope and intercept of this equation.

• F = 2.50 + 0.75m; Slope: 0.75, Intercept: 2.50

• F = 2.50 - 0.75m; Slope: -0.75, Intercept: 2.50

• F = 0.75 + 2.50m; Slope: 2.50, Intercept: 0.75

• F = 2.50 + 1.00m; Slope: 1.00, Intercept: 2.50

A subscription box service charges $25 per month plus $5 for each additional item. Write the equation for the total cost (C) based on the number of additional items (i) ordered. What do the slope and intercept represent?

• C = 25 + 10i; Slope: 10, Intercept: 25

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

• C = 25 + 5i; Slope: 5 (cost per item), Intercept: 25 (base cost)

• C = 20 + 5i; Slope: 5, Intercept: 20