Understanding Linear Equations and Slope Interpretations

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 + 0.10m; the slope represents the total cost.

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

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

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

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 about the cost of classes?

• C = 30c + 5; The slope indicates that the total cost decreases with more classes attended.

• C = 5c; The slope indicates that there is no base membership fee.

• C = 30 + 5c; The slope indicates that each class costs an additional $5.

• C = 30 + 10c; The slope indicates that each class costs an additional $10.

A school is planning a field trip and estimates that the cost per student is $50, which includes transportation and admission fees. If the total cost (C) is represented as a function of the number of students (s), what is the equation? Interpret the slope in this scenario.

• C = 25s

• C = 100s

• C = 50s

• C = 50 + s

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 monthly cost (C) based on the number of text messages (t) sent. What does the slope tell you about the cost of sending texts?

• C = 40t + 0.10; The slope (0.10) shows the total cost of the plan.

• C = 40 + 0.10t; The slope (0.10) indicates the cost increase per text message.

• C = 40 + 0.05t; The slope (0.05) indicates a discount for sending texts.

• C = 40 + 0.20t; The slope (0.20) represents the fixed cost of sending texts.

A local bakery sells cupcakes for $3 each and has a fixed cost of $15 for ingredients. Write the equation for the total cost (C) in terms of the number of cupcakes (c) sold. What does the slope represent in this situation?

• C = 3c + 15; the slope represents the cost per cupcake.

• C = 2c + 15; the slope represents the number of cupcakes sold.

• C = 5c + 10; the slope represents the total cost.

• C = 3c; the slope represents the fixed cost.

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

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

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

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

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

A concert venue charges $25 for a ticket and an additional $10 for parking. Write the equation for the total cost (C) based on the number of tickets (t) purchased. What does the slope indicate about the cost of attending the concert?

• C = 10t + 25; The slope indicates that parking costs $10.

• C = 25t; The slope indicates that the total cost is fixed regardless of tickets.

• C = 35t + 10; The slope indicates that each ticket costs $35.

• C = 25t + 10; The slope indicates that each additional ticket costs $25.

A delivery service charges a flat fee of $5 plus $0.50 for each item delivered. Write the equation for the total cost (C) based on the number of items (i) delivered. Interpret the slope in this context.

• C = 5 + 0.50i; slope = 0.50 (cost per item)

• C = 5 + 1.00i; slope = 1.00 (cost per item)

• C = 5 + 0.75i; slope = 0.75 (cost per item)

• C = 10 + 0.50i; slope = 0.50 (cost per item)

A subscription service charges $15 per month plus $2 for each additional movie rented. Write the equation for the total cost (C) based on the number of movies (m) rented. What does the slope represent in this scenario?

• C = 2m; the slope represents the number of movies rented.

• C = 15m + 2; the slope represents the total cost of all movies.

• C = 15 + 2m; the slope represents the cost per additional movie rented.

• C = 2 + 15m; the slope represents the base cost of the subscription.

A landscaping company charges a base fee of $100 for service and $25 for each hour of work. Write the equation for the total cost (C) based on the number of hours (h) worked. What does the slope indicate about the cost of labor?

• C = 100 + 50h; The slope indicates that the cost of labor is $50 per hour.

• C = 100h; The slope indicates that the cost of labor is $100 per hour.

• C = 25 + 100h; The slope indicates that the cost of labor is $100 per hour.

• C = 100 + 25h; The slope indicates that the cost of labor is $25 per hour.