Slope-Intercept Form: Real-World Cost Challenges

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

• C = 0.10m + 20; The slope (0.10) represents the cost per mile driven.

• C = 20m + 0.15; The slope (20) represents the total cost.

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

• C = 0.15m + 10; The slope (0.15) represents the total distance driven.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended. How would you interpret the slope?

• C = 30c + 5

• C = 5c + 30

• C = 30 + 5c^2

• C = 5c - 30

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t) sent. What does the slope indicate about the cost per text?

• C = 0.25t + 25; The slope indicates that each text message costs $0.25.

• C = 25t + 0.10; The slope indicates a fixed monthly cost.

• C = 0.10t + 30; The slope indicates that each text message costs $0.10 but with a higher base fee.

• C = 0.10t + 25; The slope (0.10) indicates that each text message sent adds $0.10 to the total cost.

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation in slope-intercept form for the total delivery cost (D) based on miles driven (m). What does the slope tell you about the cost structure?

• D = 2m + 10; The slope of 2 indicates that for each additional mile driven, the delivery cost increases by $2.

• D = 10m + 2; The slope of 10 indicates a flat rate for delivery.

• D = 2m + 5; The slope of 2 implies a discount for the first few miles.

• D = 5m + 10; The slope of 5 suggests a higher cost per mile than stated.

A school is selling tickets for a play at $5 each, with a fixed cost of $50 for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). What does the slope represent in this scenario?

• R = 5t - 50; The slope (5) represents the revenue generated for each additional ticket sold.

• R = 10t + 50; The slope (10) represents the total cost of the venue.

• R = 5t - 100; The slope (5) represents the fixed cost of the venue.

• R = 5t + 50; The slope (5) represents the total number of tickets sold.

A local farmer sells apples for $2 per pound and has a fixed cost of $10 for the market stall. Write the equation in slope-intercept form for the total sales (S) based on the pounds of apples sold (p). How does the slope relate to the price of apples?

• S = 3p + 10

• S = 2p - 10

• S = 2p + 5

• S = 2p + 10

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation in slope-intercept form 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 discounted monthly cost of $10.

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

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

• C = 15m; the slope represents the one-time setup fee of $25.

A taxi company charges a base fare of $3 and $2 for each mile traveled. Write the equation in slope-intercept form for the total fare (F) based on miles traveled (m). How would you interpret the slope in this situation?

• F = 2m + 5; The slope (2) represents the total distance traveled.

• F = 2m + 3; The slope (2) represents the cost per mile traveled.

• F = 3m + 2; The slope (3) represents the total fare.

• F = 5m; The slope (5) represents the base fare.

A bookstore has a membership fee of $20 and offers a discount of $2 per book purchased. Write the equation in slope-intercept form for the total cost (C) based on the number of books (b) bought. What does the slope represent in terms of savings?

• C = 20b - 2; slope represents $20 savings per book.

• C = 2b + 20; slope represents $2 cost per book.

• C = -2b + 10; slope represents $1 savings per book.

• C = -2b + 20; slope represents $2 savings per book.