Exploring Linear Functions: Slope & Intercepts Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.20, Y-intercept: 100

• Slope: 0.50, Y-intercept: 50

• Slope: 50, Y-intercept: 0.20

• Slope: 0.20, Y-intercept: 50

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear function to represent the number of flowers (F) planted after h hours. What is the slope and y-intercept?

• F(h) = 5h + 5; slope = 5, y-intercept = 5

• F(h) = 5h; slope = 5, y-intercept = 0

• F(h) = 10h; slope = 10, y-intercept = 2

• F(h) = 3h; slope = 3, y-intercept = 1

A school is selling tickets for a play. The tickets cost $10 each, and they have a fixed cost of $200 for the venue. Write a linear equation for the 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 phone company offers a plan that costs $30 per month plus $0.10 per text message. Write a linear equation to represent the total cost (C) in terms of the number of text messages (m) sent. What is the slope and y-intercept?

• Slope: 0.30, Y-intercept: 10

• Slope: 0.05, Y-intercept: 50

• Slope: 0.10, Y-intercept: 30

• Slope: 0.20, Y-intercept: 25

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write a linear equation for the total charge (C) based on the distance (d) in miles. What is the slope and y-intercept?

• Slope: 2, Y-intercept: 15

• Slope: 2, Y-intercept: 10

• Slope: 0, Y-intercept: 15

• Slope: 15, Y-intercept: 2

A local gym charges a monthly membership fee of $25 and an additional $5 for each class attended. Write a linear equation for the total cost (C) in terms of the number of classes (c) attended. What is the slope and y-intercept?

• C = 25 + 10c; Slope: 10, Y-intercept: 25

• C = 25 + 5c; Slope: 5, Y-intercept: 25

• C = 30 + 5c; Slope: 5, Y-intercept: 30

• C = 25 + 2c; Slope: 2, Y-intercept: 25

A bookstore sells notebooks for $3 each and has a fixed cost of $50 for supplies. Write a linear equation for the total cost (C) in terms of the number of notebooks (n) purchased. What is the slope and y-intercept?

• C = 3n + 30; Slope: 3, Y-intercept: 30

• C = 5n + 50; Slope: 5, Y-intercept: 50

• C = 4n + 50; Slope: 4, Y-intercept: 50

• C = 3n + 50; Slope: 3, Y-intercept: 50

A taxi service charges a flat fee of $2.50 plus $1.50 per mile. Write a linear equation for the total fare (F) in terms of the distance (d) in miles. What is the slope and y-intercept?

• F = 2.50 + 1.50d; Slope: 1.50, Y-intercept: 2.50

• F = 1.50d; Slope: 1.50, Y-intercept: 0

• F = 2.50 + 1.00d; Slope: 1.00, Y-intercept: 2.50

• F = 2.50d + 1.50; Slope: 2.50, Y-intercept: 1.50

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

• Slope: 20, Y-intercept: 0

• Slope: 25, Y-intercept: 5

• Slope: 10, Y-intercept: 50

• Slope: 0, Y-intercept: 20

A subscription service charges $10 per month plus $0.50 for each movie rented. Write a linear equation for the total cost (C) in terms of the number of movies (m) rented. What is the slope and y-intercept?

• C = 10 + 0.50m; Slope: 0.50, Y-intercept: 10

• C = 0.50m; Slope: 0, Y-intercept: 10

• C = 10 + 0.25m; Slope: 0.25, Y-intercept: 10

• C = 10m + 0.50; Slope: 10, Y-intercept: 0.50