Understanding Slope and Graphing Linear Costs in Context

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?

• C = 20 + 0.20m; slope = 0.20, representing the flat fee.

• C = 15 + 0.15m; slope = 0.15, representing the base cost.

• C = 20 + 0.10m; slope = 0.10, representing the total cost.

• C = 20 + 0.15m; slope = 0.15, representing the cost per mile.

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) in terms of classes attended (c). What does the slope represent?

• C = 5 + 30c; the slope represents the total number of classes attended.

• C = 30 + 10c; the slope represents the cost of two fitness classes.

• C = 30c + 5; the slope represents the total cost of membership.

• C = 30 + 5c; the slope represents the cost per fitness class attended.

Tags

CCSS.HSF.LE.B.5

A gardener is planting flowers in a straight line. The cost of planting is $50 plus $10 for each flower. Write the equation for the total cost (C) in terms of the number of flowers (f). How would you graph this equation?

• C = 10f

• C = 50 - 10f

• C = 50 + 10f

• C = 50 + 5f

Tags

CCSS.8.EE.B.5

A phone plan costs $25 per month plus $0.10 for each text message sent. If you send 100 text messages, what is the total cost? Graph the equation and identify the slope and y-intercept.

• $40

• $50

• $35

• $30

Tags

CCSS.8.EE.B.5

A taxi company charges a base fare of $3 plus $2 for each mile driven. Write the equation for the total fare (F) in terms of miles driven (m). How would you interpret the slope in this context?

• F = 3 + 2m

• F = 2m

• F = 3 + m

• F = 3 + 3m

Tags

CCSS.HSF.LE.B.5

A school is selling tickets for a play. The tickets cost $8 each, and there is a $50 flat fee for the venue. Write the equation for the total revenue (R) in terms of tickets sold (t). What does the slope represent?

• R = 8t + 50; slope represents revenue per ticket sold.

• R = 8t; slope represents the total number of tickets sold.

• R = 50t + 8; slope represents total cost of the play.

• R = 50 + 8t; slope represents the fixed cost of the venue.

A delivery service charges a flat fee of $15 plus $1.50 per mile. Write the equation for the total charge (C) in terms of miles (m). How would you graph this equation?

• C = 15 + 2m

• C = 15 + 1.5m

• C = 1.5m + 10

• C = 15 - 1.5m

Tags

CCSS.8.EE.B.5

A subscription service charges $10 per month plus a one-time setup fee of $25. Write the equation for the total cost (C) in terms of months (m). What does the y-intercept represent?

• C = 10m; The y-intercept represents the total cost after one month.

• C = 15m + 25; The y-intercept represents the total cost for two months.

• C = 10m + 25; The y-intercept represents the one-time setup fee of $25.

• C = 25m + 10; The y-intercept represents the monthly fee of $10.

Tags

CCSS.HSF.LE.B.5