Slope & Intercept: Solve Real-World Word Problems

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 intercept?

• C = 15 + 0.20m; slope = 0.20, intercept = 15

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

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

• C = 25 + 0.15m; slope = 0.15, intercept = 25

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

• C = 30 + 2c; slope = 2, intercept = 30

• C = 25 + 5c; slope = 5, intercept = 25

• C = 30 + 5c; slope = 5, intercept = 30

• C = 30 + 10c; slope = 10, intercept = 30

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

• C = 0.10 + 25t

• C = 25t + 0.10

• C = 25 + 0.05t

• C = 25 + 0.10t

A school is selling tickets for a play. The tickets cost $10 each, and there is a $50 fee for the venue. Write the equation for the total revenue (R) in terms of tickets sold (x). Identify the slope and intercept.

• R = 10x + 50; Slope: 10, Intercept: 50

• R = 15x - 50; Slope: 15, Intercept: -50

• R = 10x - 50; Slope: 10, Intercept: -50

• R = 5x + 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) in terms of miles (m). What is the slope and intercept?

• C = 5 + 3m; Slope: 3, Intercept: 5

• C = 5 + 2m; Slope: 2, Intercept: 5

• C = 5 + 1.5m; Slope: 1.5, Intercept: 5

• C = 2m; Slope: 2, Intercept: 0

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

• S = 4c + 50; slope = 4, intercept = 50

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

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

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

A taxi company charges a flat rate of $2.50 plus $1.75 per mile. Write the equation for the total fare (F) in terms of miles (m). What do the slope and intercept represent?

• F = 2.50m + 1.75

• F = 2.50 + 1.50m

• F = 2.50 + 1.75m

• F = 1.75m

A concert venue charges $100 for renting the space plus $20 for each hour of use. Write the equation for the total cost (C) in terms of hours (h). Identify the slope and intercept.

• C = 100 + 20h; Slope: 20, Intercept: 100

• C = 80 + 25h; Slope: 25, Intercept: 80

• C = 20 + 100h; Slope: 100, Intercept: 20

• C = 100h + 20; Slope: 100, Intercept: 20

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation for the total cost (C) in terms of months (m). What is the slope and intercept?

• C = 15m + 30; Slope: 15, Intercept: 30

• C = 20m + 25; Slope: 20, Intercept: 25

• C = 15m + 25; Slope: 15, Intercept: 25

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

A farmer sells apples for $2 per pound and has a fixed cost of $10 for packaging. Write the equation for the total revenue (R) in terms of pounds sold (p). Identify the slope and intercept.

• R = 10p; slope = 10, intercept = 0

• R = 2p + 10; slope = 2, intercept = 10

• R = 5p; slope = 5, intercept = 10

• R = 2p; slope = 2, intercept = 0