Create Equations & Interpret Slopes in Real-Life Scenarios

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 + 0.10m; the slope represents the total cost.

• C = 15 + 0.20m; the slope represents the flat fee.

• C = 25 + 0.15m; the slope represents the distance driven.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Interpret the slope in this scenario.

• C = 30 - 5c

• C = 30 + 10c

• C = 30 + 5c

• C = 5c

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. What does the slope indicate about the cost of texting?

• C = 0.10 + 25t; The slope shows the fixed cost of texting.

• C = 25t + 0.10; The slope indicates the total cost of the plan.

• C = 25 + 0.05t; The slope represents a discount on text messages.

• C = 25 + 0.10t; The slope (0.10) indicates the cost increase per text message.

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation for the total delivery cost (D) based on the distance (d) in miles. Explain the meaning of the slope in this context.

• D = 10 + 2d

• D = 10 + 5d

• D = 2d + 5

• D = 10 - 2d

A school is selling tickets for a play at $5 each. If they have a fixed cost of $100 for the venue, write the equation for the total revenue (R) based on the number of tickets sold (t). What does the slope represent?

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

• R = 5t; the slope represents the revenue per ticket sold.

• R = 100 + 5t; the slope represents the total cost of the venue.

• R = 100t; the slope represents the number of tickets sold.

A local farmer sells apples for $2 per pound and has a fixed cost of $10 for the stand. Write the equation for the total cost (C) based on the pounds of apples (p) sold. Interpret the slope in this situation.

• C = 10p + 2

• C = 3p + 10

• C = 2p + 10

• C = 2p - 10

A taxi service charges a flat rate of $3 plus $1.50 per mile. Write the equation for the total fare (F) based on the miles traveled (m). What does the slope tell you about the cost per mile?

• F = 3m + 1.50; The slope (3) shows the base fare per mile.

• F = 1.50 + 3m; The slope (3) indicates a discount per mile.

• F = 3 + 1.50m; The slope (1.50) represents the cost per mile.

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

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) based on the number of tickets sold (t). What does the slope indicate about ticket sales?

• R = 50t - 2000

• R = 2000 + 50t

• R = 2000t

• R = 50t

A subscription service charges $15 per month with an initial sign-up fee of $5. 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 = 20 + 10m; the slope represents a discount on the monthly cost.

• C = 5m + 15; the slope represents the initial sign-up fee.

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

• C = 5 + 15m; the slope represents the monthly cost of $15.

A bike rental shop charges $10 for the first hour and $5 for each additional hour. Write the equation for the total cost (C) based on the number of hours (h) rented. Interpret the slope in this scenario.

• C = 10h

• C = 5h + 5

• C = 5h + 10

• C = 10 + 5h