Exploring Slopes and Intercepts in Real-Life Situations

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 20, Y-intercept: 0.50

• Slope: 0.50, Y-intercept: 20

• Slope: 1.00, Y-intercept: 15

• Slope: 0.25, Y-intercept: 30

A local gym charges a monthly membership fee of $30 and an additional $10 for each fitness class attended. Write the equation for the total cost (C) in terms of classes attended (c). Identify the slope and y-intercept.

• C = 30 + 10c; Slope: 10, Y-intercept: 30

• C = 30c + 10; Slope: 30, Y-intercept: 10

• C = 10 + 30c; Slope: 30, Y-intercept: 10

• C = 10 + 30; Slope: 10, Y-intercept: 10

A farmer sells apples for $2 per pound. If he starts with a fixed cost of $50 for supplies, write the equation for the total revenue (R) in terms of pounds sold (p). What do the slope and intercept represent in this context?

• R = 2p

• R = 2p + 50

• R = 50 + 2p

• R = p/2

A school is planning a field trip and charges $15 per student plus a $100 bus fee. Write the equation for the total cost (C) in terms of the number of students (s). What is the slope and y-intercept?

• C = 10s + 100; Slope: 10, Y-intercept: 100

• C = 15s + 50; Slope: 15, Y-intercept: 50

• C = 20s + 100; Slope: 20, Y-intercept: 100

• C = 15s + 100; Slope: 15, Y-intercept: 100

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

• C = 40 + 0.10t; Slope: 0.10, Y-intercept: 40

• C = 0.10 + 40t; Slope: 40, Y-intercept: 0.10

• C = 40t + 0.10; Slope: 40, Y-intercept: 0.10

• C = 40 + 0.05t; Slope: 0.05, Y-intercept: 40

A delivery service charges a base fee of $5 plus $2 for each package delivered. Write the equation for the total cost (C) in terms of packages delivered (p). What do the slope and intercept represent?

• C = 5 + 2p

• C = 2p

• C = 5p + 2

• C = 5 + p

A bookstore sells notebooks for $3 each and has a fixed cost of $20 for supplies. Write the equation for the total revenue (R) in terms of notebooks sold (n). Identify the slope and y-intercept.

• R = 3n; slope = 3, y-intercept = 0

• R = 20n; slope = 20, y-intercept = 20

• R = 5n; slope = 5, y-intercept = 0

• R = 3n + 20; slope = 3, y-intercept = 20

A concert venue charges $50 for a ticket and has a fixed cost of $2000 for the event. Write the equation for the total revenue (R) in terms of tickets sold (t). What is the slope and y-intercept?

• R = 50t + 2000; slope = 2000, y-intercept = 50

• R = 2000 + 50t; slope = 50, y-intercept = 2000

• R = 50t; slope = 50, y-intercept = 0

• R = 50t - 2000; slope = 50, y-intercept = -2000

A taxi service charges a base fare of $3 plus $2 for each mile driven. Write the equation for the total fare (F) in terms of miles driven (m). Identify the slope and y-intercept.

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

• F = 2 + 3m; slope = 3, y-intercept = 2

• F = 3 + 2m; slope = 2, y-intercept = 3

• F = 3 + 3m; slope = 3, y-intercept = 3

A subscription service charges $10 per month and has a one-time setup fee of $25. Write the equation for the total cost (C) in terms of months (m). What do the slope and intercept represent in this scenario?

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

• C = 5m + 25; Slope: $5, Intercept: $25

• C = 10m + 25; Slope: $10 (monthly cost), Intercept: $25 (setup fee)

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