Slope and Intercept: Real-World Equation Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the slope-intercept equation that represents the total cost (C) in terms of miles driven (m). What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.10, Y-intercept: 25

• Slope: 0.25, Y-intercept: 10

• Slope: 0.15, Y-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 + 10c; Slope: 10, Intercept: 30

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

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

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

• C = 25 + 0.10t

• C = 0.10 + 25t

• C = 25 + 0.05t

• C = 25t + 0.10

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation for the total delivery cost (D) in terms of miles (m). Identify the slope and y-intercept.

• D = 5 + 2m; slope = 2, y-intercept = 5

• D = 10 + 3m; slope = 3, y-intercept = 10

• D = 10 + 2m; slope = 2, y-intercept = 10

• D = 10 + 1m; slope = 1, y-intercept = 10

A school is selling tickets for a play. The tickets cost $5 each, and there is a $50 flat fee for the venue. Write the slope-intercept equation for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

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

• R = 5t - 50; Slope: 5, Intercept: -50

• R = 5t + 50; Slope: 5, Intercept: 50

• R = 5t - 10; Slope: 5, Intercept: -10

A local farmer sells apples for $2 each and has a fixed cost of $100 for supplies. Write the equation for the total revenue (R) based on the number of apples sold (a). Identify the slope and y-intercept.

• R = 100 + 2a; slope = 100; y-intercept = 2

• R = 3a; slope = 3; y-intercept = 0

• R = 2a; slope = 2; y-intercept = 0

• R = 2a + 100; slope = 2; y-intercept = 100

A taxi company charges a base fare of $3 and $1.50 per mile. Write the slope-intercept equation for the total fare (F) based on the number of miles (m) driven. What do the slope and intercept represent?

• F = 1.50m + 3

• F = 3m + 1.50

• F = 2m + 3

• F = 1.50m + 1

A subscription service charges $10 per month plus a one-time setup fee of $20. Write the equation for the total cost (C) based on the number of months (m) subscribed. Identify the slope and intercept.

• C = 10m + 10; slope = 10, intercept = 10

• C = 15m + 20; slope = 15, intercept = 20

• C = 5m + 20; slope = 5, intercept = 20

• C = 10m + 20; slope = 10, intercept = 20

A concert venue charges $15 per ticket and has a fixed cost of $200 for the event. Write the slope-intercept equation for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

• R = 15t; slope = 15, intercept = 0

• R = 200 + 15t; slope = 15, intercept = 200

• R = 15t - 200; slope = 15, intercept = -200

• R = 15t + 200; slope = 200, intercept = 15

A bookstore sells novels for $12 each and has a monthly rent of $300. Write the equation for the total revenue (R) based on the number of novels sold (n). Identify the slope and y-intercept.

• R = 12n; slope = 12; y-intercept = 0

• R = 12n - 300; slope = 12; y-intercept = -300

• R = 12n + 300; slope = 12; y-intercept = 300

• R = 300n; slope = 300; y-intercept = 0