Writing Equations & Identifying Slope in Word Problems

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 + 0.10m; slope = 0.10, intercept = 20

• C = 20 + 0.15m; slope = 0.15, 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 = 25 + 5c; Slope: 5, Intercept: 25

• C = 30 + 3c; Slope: 3, Intercept: 30

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

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

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 = 0.10 + 25t

• C = 25 + 0.10t

• C = 25t + 0.10

• C = 25 + 0.05t

A school is selling tickets for a play. The tickets cost $10 each, and there is a one-time fee of $50 for the venue. Write the equation for the total revenue (R) based on the number of tickets sold (n). Identify the slope and intercept.

• R = 10n; slope = 10, intercept = 0

• R = 10n + 100; slope = 10, intercept = 100

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

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

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the equation for the total charge (C) based on the distance (d) in miles. What are the slope and intercept?

• C = 5 + 3d; Slope: 3, Intercept: 5

• C = 5 + 2d; Slope: 2, Intercept: 5

• C = 2 + 5d; Slope: 5, Intercept: 2

• C = 10 + 2d; Slope: 2, Intercept: 10

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

• R = 3c; slope = 3, intercept = 0

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

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

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

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation for the total cost (C) based on the number of months (m) subscribed. What do the slope and intercept indicate?

• C = 25m + 15

• C = 15m - 25

• C = 15m + 25

• C = 10m + 25

A taxi company charges a flat rate of $2.50 plus $1.50 for each mile driven. Write the equation for the total fare (F) based on the number of miles (m) driven. Identify the slope and intercept.

• F = 2.50 + 1.50m; Slope: 1.50, Intercept: 2.50

• F = 2.50 + 2.00m; Slope: 2.00, Intercept: 2.50

• F = 2.50m + 1.50; Slope: 2.50, Intercept: 1.50

• F = 1.50m; Slope: 2.50, Intercept: 1.50

A concert venue charges $100 for renting the space plus $10 for each hour of use. Write the equation for the total cost (C) based on the number of hours (h) rented. What are the slope and intercept?

• C = 100 + 10h; Slope: 10, Intercept: 100

• C = 100h + 10; Slope: 100, Intercept: 10

• C = 10 + 100h; Slope: 100, Intercept: 10

• C = 100 + 5h; Slope: 5, Intercept: 100

A landscaping company charges a flat fee of $50 plus $25 for each hour of work. Write the equation for the total cost (C) based on the number of hours (h) worked. Identify the slope and intercept.

• C = 25h; Slope: 25, Intercept: 0

• C = 50 + 15h; Slope: 15, Intercept: 50

• C = 50 + 25h; Slope: 25, Intercept: 50

• C = 50 + 30h; Slope: 30, Intercept: 50