Slope-Intercept Equations: Real-World Cost Challenges

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the slope-intercept equation for the total cost (C) in terms of miles driven (m). What does the slope represent in this context?

• C = 20 + 0.10m; the slope is 0.10, representing the total cost.

• C = 20 + 0.15m; the slope is 0.15, representing the cost per mile.

• C = 15 + 0.15m; the slope is 0.15, representing the initial charge.

• C = 20 + 0.25m; the slope is 0.25, representing the flat fee.

A delivery service charges a base fee of $5 plus $2 for each package delivered. Write the slope-intercept equation for the total charge (C) based on the number of packages (p). What does the slope indicate?

• C = 5 + 2p + 1

• C = 2p

• C = 5p + 2

• C = 2p + 5

A phone plan costs $25 per month plus $0.10 per text message. Write the slope-intercept equation for the total cost (C) in terms of text messages (t). How would you interpret the slope?

• C = 25 + 0.10t

• C = 25 + 0.05t

• C = 0.10 + 25t

• C = 25t + 0.10

A school is selling tickets for a play at $8 each, with a fixed cost of $50 for the venue. Write the slope-intercept equation for the total revenue (R) in terms of tickets sold (t). What does the slope represent?

• R = 8t + 50

• R = 50 + 8t

• R = 8t - 50

• R = 8t

A subscription service charges $15 per month with an initial sign-up fee of $10. Write the slope-intercept equation for the total cost (C) in terms of months (m). What does the slope tell you about the cost?

• C = 15m; The slope (15) represents the total cost without initial fees.

• C = 10m + 15; The slope (10) indicates a one-time fee.

• C = 20m + 5; The slope (20) shows a higher monthly cost.

• C = 15m + 10; The slope (15) represents the monthly cost increase.

A local farmer sells apples for $2 each and has a fixed cost of $10 for supplies. Write the slope-intercept equation for the total sales (S) in terms of apples sold (a). How would you interpret the slope in this scenario?

• S = 2a + 10

• S = 10a - 2

• S = 2a - 10

• S = 2a + 2

A concert ticket costs $50 plus a service fee of $5. Write the slope-intercept equation for the total cost (C) in terms of tickets purchased (t). What does the slope represent in this context?

• C = 5t + 50; slope = 5

• C = 50t; slope = 0

• C = 55t + 5; slope = 55

• C = 50t + 5; slope = 50

A water company charges a base fee of $10 plus $1.50 for each 100 gallons used. Write the slope-intercept equation for the total bill (B) in terms of gallons (g). How would you graph this equation?

• B = 0.015g + 10

• B = 10g + 1.50

• B = 0.015g + 5

• B = 1.50g + 10