Slope-Intercept Equations: Real-Life Applications Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m). What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 100

• Slope: 0.50, Y-intercept: 20

• Slope: 0.10, Y-intercept: 50

• Slope: 0.20, Y-intercept: 50

A local gym has a membership fee of $30 per month. If the gym also charges a one-time registration fee of $50, write the equation for the total cost (C) in terms of months (m). Identify the slope and intercept.

• C = 30m; Slope: 30, Intercept: 0

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

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

• C = 20m + 50; Slope: 20, Intercept: 50

A school is planning a fundraiser. They will sell tickets for $10 each and have a fixed cost of $200 for the event. Write the equation for total revenue (R) in terms of the number of tickets sold (t). What is the slope and y-intercept?

• R = 5t; slope = 5, y-intercept = 0

• R = 10t - 200; slope = 10, y-intercept = -200

• R = 10t; slope = 10, y-intercept = 0

• R = 200 + 10t; slope = 10, y-intercept = 200

A delivery service charges a base fee of $5 plus $1.50 per mile. Write the equation for the total charge (C) based on the distance (d) in miles. Identify the slope and intercept.

• C = 5 + 2d; Slope: 2, Intercept: 5

• C = 5 + 1d; Slope: 1, Intercept: 5

• C = 5 + 1.50d; Slope: 1.50, Intercept: 5

• C = 10 + 1.50d; Slope: 1.50, Intercept: 10

A gardener is planting flowers in a straight line. The first flower is planted at 2 feet from the starting point, and each subsequent flower is planted 3 feet apart. Write the equation for the position (P) of the nth flower. What is the slope and y-intercept?

• P(n) = 3n - 1; slope = 3, y-intercept = -1

• P(n) = 2n + 1; slope = 2, y-intercept = 1

• P(n) = 4n - 2; slope = 4, y-intercept = -2

• P(n) = 3n + 2; slope = 3, y-intercept = 2

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the equation for the total cost (C) in terms of the number of text messages (t). Identify the slope and intercept.

• C = 40 + 0.10t; Slope: 0.10, Intercept: 40

• C = 40 + 0.05t; Slope: 0.05, Intercept: 40

• C = 40 + 0.10t; Slope: 40, Intercept: 0

• C = 30 + 0.10t; Slope: 0.10, Intercept: 30

A taxi company charges a flat rate of $3 plus $2 per mile. Write the equation for the total fare (F) based on the distance traveled (d). What is the slope and y-intercept?

• F = 3 + 2d; Slope: 2, Y-intercept: 3

• F = 3 + 3d; Slope: 3, Y-intercept: 3

• F = 2 + 2d; Slope: 2, Y-intercept: 2

• F = 5 + 2d; Slope: 2, Y-intercept: 5

A bookstore sells notebooks for $5 each and has a fixed cost of $100 for supplies. Write the equation for total sales (S) in terms of the number of notebooks sold (n). Identify the slope and intercept.

• S = 5n - 100; slope = 5, intercept = -100

• S = 5n - 50; slope = 5, intercept = -50

• S = 10n - 100; slope = 10, intercept = -100

• S = 5n + 100; slope = 5, intercept = 100

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write the equation for total revenue (R) in terms of the number of tickets sold (t). What is the slope and y-intercept?

• R = 25t; slope = 25, y-intercept = 10

• R = 15t; slope = 15, y-intercept = 5

• R = 20t; slope = 20, y-intercept = 0

• R = 20t + 100; slope = 20, y-intercept = 100

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

• S = 2c + 50; slope = 2, intercept = 50

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

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

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