Linear Expressions: Graphing and Interpreting Slope

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

• C = 20 + 0.10m; slope = 0.10, representing the total cost.

• C = 20 + 0.15m; slope = 0.15, representing the cost per mile.

• C = 15 + 0.15m; slope = 0.15, representing the initial cost.

• C = 20 + 0.20m; slope = 0.20, representing the flat fee.

If a gardener plants 5 rows of flowers with 8 flowers in each row, and then adds 3 more flowers, write a linear expression for the total number of flowers (F) as a function of the number of rows (r). What is the slope of this expression?

• F = 5r + 3; slope = 5

• F = 10r + 3; slope = 10

• F = 8r + 5; slope = 5

• F = 8r + 3; slope = 8

A phone company offers a plan that costs $30 per month plus $0.10 per text message sent. Write a linear expression for the total monthly cost (C) based on the number of text messages (t) sent. What does the y-intercept represent?

• C = 30 + 0.10t; The y-intercept represents the base monthly cost of the plan.

• C = 0.10 + 30t; The y-intercept represents the cost per text message.

• C = 30t; The y-intercept represents the total cost of text messages.

• C = 30 + 0.05t; The y-intercept represents the number of text messages sent.

A store sells notebooks for $2 each and pens for $1 each. If a student buys n notebooks and p pens, write a linear expression for the total cost (C). How would you interpret the slope in this scenario?

• C = 2n + 1p

• C = 2n + 2p

• C = 3n + 2p

• C = n + 2p

A bike rental shop charges a base fee of $15 plus $5 for each hour rented. Write a linear expression for the total cost (C) based on the number of hours (h) rented. What does the slope indicate about the cost?

• C = 15h; the slope indicates the cost remains constant regardless of hours rented.

• C = 5h; the slope indicates the cost increases by $15 for each additional hour rented.

• C = 15 + 10h; the slope indicates the cost decreases by $10 for each additional hour rented.

• C = 15 + 5h; the slope indicates the cost increases by $5 for each additional hour rented.

A local gym charges a membership fee of $50 plus $10 for each class attended. Write a linear expression for the total cost (C) based on the number of classes (c) attended. How would you graph this situation?

• C = 50 + 5c

• C = 10c

• C = 50 + 10c

• C = 50 - 10c

A delivery service charges a flat fee of $5 plus $2 for each package delivered. Write a linear expression for the total cost (C) based on the number of packages (p) delivered. What does the y-intercept represent?

• C = 2p; y-intercept represents the total cost of delivery.

• C = 5p + 2; y-intercept represents the cost per package.

• C = 5 + 2p; y-intercept represents the flat fee of $5.

• C = 10 + 2p; y-intercept represents a discount on the delivery fee.

A farmer sells apples for $3 each and oranges for $2 each. If a customer buys a total of a apples and o oranges, write a linear expression for the total cost (C). What does the slope represent in this scenario?

• C = 2a + 2o

• C = 3a + 3o

• C = 5a + 2o

• C = 3a + 2o