Understanding Slope: Real-World Linear Functions Quiz

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear function to represent the total cost (C) in terms of miles driven (m). What is the slope of this function, and what does it represent in this context?

• The slope is 0.15, representing the total cost of the rental.

• The slope is 0.15, representing the cost per mile driven.

• The slope is 1, representing the number of miles driven.

• The slope is 20, representing the flat fee charged.

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

• C = 30 + 5c

• C = 30 - 5c

• C = 5c

• C = 30 + 10c

A school is planning a field trip and estimates that the total cost (C) can be modeled by the equation C = 50 + 10n, where n is the number of students. What does the slope of this function represent in the context of the field trip?

• The slope represents the additional cost per student.

• The slope represents the total cost of the trip.

• The slope indicates the fixed cost for the trip.

• The slope shows the number of students attending the trip.

A delivery service charges a base fee of $10 plus $2 for each package delivered. If you graph the total cost (C) against the number of packages (p), what will be the slope of the line, and what does it indicate?

• The slope of the line is 2, indicating the cost increases by $2 for each package delivered.

• The slope of the line is 5, indicating the cost increases by $5 for each package delivered.

• The slope of the line is 0, indicating the cost remains constant regardless of the number of packages delivered.

• The slope of the line is 10, indicating the cost increases by $10 for each package delivered.

A phone company offers a plan that costs $40 per month plus $0.10 per text message sent. Write the linear function for the total monthly cost (C) based on the number of text messages (t). What does the slope tell you about the cost of sending messages?

• C(t) = 40 + 0.10t

• C(t) = 40 + 0.20t

• C(t) = 30 + 0.10t

• C(t) = 40 + 0.05t

A local farmer sells apples for $2 per pound. If the total revenue (R) from selling p pounds of apples is represented by the equation R = 2p, what is the slope of this function, and what does it signify in terms of revenue?

• The slope is 3, suggesting revenue increases by $3 for each additional pound sold.

• The slope is 1, indicating revenue increases by $1 for each additional pound sold.

• The slope is 0, meaning revenue does not change with additional pounds sold.

• The slope is 2, signifying that revenue increases by $2 for each additional pound of apples sold.

A taxi company charges a flat rate of $5 plus $1.50 per mile. Write the linear equation for the total fare (F) based on the distance traveled (d). What does the slope represent in this scenario?

• F = 5 + 1.50d; The slope represents the cost per mile.

• F = 1.50 + 5d; The slope represents the initial charge.

• F = 5 + 2d; The slope represents the total fare.

• F = 1.50d; The slope represents the distance traveled.

A subscription service charges $15 per month plus $3 for each additional movie rented. If the total cost (C) is modeled by the equation C = 15 + 3m, where m is the number of movies rented, what does the slope indicate about the cost of renting movies?

• The slope indicates that each movie rented costs $15.

• The slope indicates that each additional movie rented costs $3.

• The slope indicates a flat fee for any number of movies.

• The slope indicates that renting movies is free.

A bookstore sells notebooks for $4 each. If the total cost (C) for buying n notebooks is represented by the equation C = 4n, what is the slope of this function, and what does it represent in the context of purchasing notebooks?

• The slope is 0, representing no cost for notebooks.

• The slope is 10, representing the total cost for five notebooks.

• The slope is 2, representing a discount on each notebook.

• The slope is 4, representing the cost of each notebook.

A concert venue charges a base fee of $100 for renting the space plus $10 for each hour of use. Write the linear function for the total cost (C) based on the number of hours (h) the venue is rented. What does the slope indicate about the cost per hour?

• C(h) = 50 + 10h; the slope indicates a cost increase of $10 per hour.

• C(h) = 100 + 15h; the slope indicates a cost increase of $15 per hour.

• C(h) = 100 + 10h; the slope indicates a cost increase of $10 per hour.

• C(h) = 100 + 5h; the slope indicates a cost increase of $5 per hour.