Graphing and Interpreting Linear Costs: A 7th Grade Quiz

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). Graph this equation and interpret the slope in context.

• C = 20 + 0.15m

• C = 20 + 0.10m

• C = 0.15m

• C = 20 - 0.15m

A gym charges a monthly membership fee of $30 plus $10 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Graph the equation and discuss the significance of the constant term.

• C = 10 + 30c

• C = 30c + 10

• C = 30 + 5c

• C = 30 + 10c

A phone plan costs $25 per month plus $0.10 for each text message sent. Formulate a linear equation for the total cost (C) based on the number of text messages (t). Graph the equation and interpret the meaning of the slope.

• C = 25 + 0.05t

• C = 25t + 0.10

• C = 0.10 + 25t

• C = 25 + 0.10t

A landscaping service charges a flat rate of $50 for a visit plus $15 for each hour of work. Write the equation for the total cost (C) based on hours worked (h). Graph the equation and explain the significance of the y-intercept in this context.

• C = 50 + 15h; y-intercept is 50.

• C = 15h; y-intercept is 15.

• C = 50h + 15; y-intercept is 0.

• C = 50 + 10h; y-intercept is 50.

A concert ticket costs $50 and there is a service fee of $10. Write a linear equation for the total cost (C) based on the number of tickets (n) purchased. Graph the equation and interpret the solution in the context of purchasing multiple tickets.

• C = 50n + 10

• C = 50 + 10n

• C = 50n - 10

• C = 10n + 50

A delivery service charges a base fee of $5 plus $2 for each item delivered. Create a linear equation for the total cost (C) based on the number of items (i). Graph the equation and discuss what the slope indicates about the cost per item.

• C = 2i

• C = 5 + 2i

• C = 5 + i

• C = 5i + 2

A school is selling tickets for a fundraiser at $8 each, with a flat fee of $20 for the event. Write the equation for total revenue (R) based on the number of tickets sold (t). Graph the equation and interpret the meaning of the y-intercept.

• R = 8t - 20

• R = 5t + 20

• R = 8t + 20

• R = 10t + 20

A subscription service charges $15 per month plus a one-time setup fee of $25. Write a linear equation for the total cost (C) based on the number of months (m) subscribed. Graph the equation and explain the significance of the constant term.

• C = 15m - 25

• C = 25m + 15

• C = 15m + 25

• C = 10m + 25

A taxi service charges a base fare of $3 plus $2 for each mile driven. Formulate a linear equation for the total fare (F) based on the number of miles (d). Graph the equation and interpret the slope in the context of the taxi fare.

• F = 2d

• F = 3d + 5

• F = 5 + 2d

• F = 3 + 2d