Interpreting Slope: Real-World Cost Equation Challenges

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

• C = 20 + 0.15m; the slope (0.15) represents the cost per mile driven.

• C = 20 + 0.25m; the slope represents the flat fee charged.

• C = 20 + 0.10m; the slope represents the total distance driven.

• C = 15 + 0.15m; the slope represents the initial cost of the rental.

A gym charges a monthly membership fee of $30 and an additional $5 for each fitness class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. What does the slope indicate?

• C = 30 + 5c; The slope indicates the cost per fitness class attended.

• C = 30 - 5c; The slope indicates the total membership fee.

• C = 5c; The slope indicates the total cost of membership.

• C = 30 + 10c; The slope indicates the cost per month.

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (t) sent. Interpret the slope in this scenario.

• C = 0.10t; Slope = 0.10 (total cost)

• C = 0.10 + 25t; Slope = 25 (cost per text message)

• C = 25t + 0.10; Slope = 25 (base cost)

• C = 25 + 0.10t; Slope = 0.10 (cost per text message)

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation for the total charge (C) based on the distance (d) in miles. What does the slope tell you about the cost per mile?

• C = 10 + 2d; The slope of 2 indicates the cost per mile is $2.

• C = 10 + d; The slope of 1 indicates the cost per mile is $1.

• C = 10 + 3d; The slope of 3 indicates the cost per mile is $3.

• C = 10 + 5d; The slope of 5 indicates the cost per mile is $5.

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 equation for the total revenue (R) based on the number of tickets sold (n). What does the slope represent?

• R = 10n + 50; the slope represents the total cost of the venue.

• R = 5n; the slope represents the total number of tickets sold.

• R = 50n + 5; the slope represents the fixed cost of the venue.

• R = 5n + 50; the slope represents the revenue per ticket sold.

A taxi company charges a base fare of $2.50 and $1.50 per mile. Write the equation for the total fare (F) based on the number of miles (m) traveled. What does the slope represent in this context?

• F = 1.50m; the slope represents the distance traveled.

• F = 2.50 + 1.50m; the slope represents the cost per mile.

• F = 1.50 + 2.50m; the slope represents the base fare.

• F = 2.50m + 1.50; the slope represents the total fare.

A concert venue has a fixed cost of $1000 for hosting an event and charges $20 per ticket sold. Write the equation for the total revenue (R) based on the number of tickets sold (t). Interpret the slope in this situation.

• R = 20t

• R = 20 + t

• R = 1000t

• R = 1000 + 20t

A farmer sells apples for $2 per pound and has a fixed cost of $10 for packaging. Write the equation for the total cost (C) based on the weight of apples (w) sold. What does the slope indicate about the pricing?

• C = 10w + 2; The slope indicates the total cost of apples.

• C = 2w; The slope indicates the fixed cost of packaging.

• C = 2w + 10; The slope indicates the cost per pound of apples.

• C = 5w + 10; The slope indicates the profit per pound of apples.

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation for the total cost (C) based on the number of months (m) subscribed. What does the slope represent in this context?

• C = 10m + 25; The slope represents a discount of $10 per month.

• C = 15m; The slope represents the setup fee of $25.

• C = 25m + 15; The slope represents the total cost of $25.

• C = 15m + 25; The slope represents the monthly charge of $15.