Real Life Linear Functions: Solve Problems & Find Slopes

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope and what does it represent?

• C = 50 + 0.20m; Slope = 0.20 (cost per mile)

• C = 50 + 0.20m; Slope = 1.00 (cost per mile)

• C = 50 + 0.10m; Slope = 0.10 (cost per mile)

• C = 50 + 0.50m; Slope = 0.50 (cost per mile)

If a store sells notebooks for $2 each and pens for $1 each, write a linear equation to represent the total cost (C) for buying n notebooks and p pens. What is the y-intercept and what does it represent in this context?

• C = 2n + 1p; y-intercept = 0, representing no cost when no items are bought.

• C = n + p; y-intercept = 1, representing the cost of one pen.

• C = 3n + 2p; y-intercept = 2, representing the cost of two notebooks.

• C = 2n + 3p; y-intercept = 3, representing the cost of three pens.

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear function to represent the number of flowers (F) planted after h hours. What is the slope of this function?

• The slope of the function is 15.

• The slope of the function is 5.

• The slope of the function is 1.

• The slope of the function is 10.

A taxi charges a base fare of $3 plus $1.50 for each mile driven. If you want to find the cost for a 10-mile trip, what is the total cost? Write the linear equation and calculate the cost.

• $15

• $21

• $12

• $18

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write a linear equation for the total cost (C) based on the number of text messages (t) sent. What is the slope and what does it indicate?

• C = 30 + 0.10t; slope = 1.0

• C = 30 + 0.05t; slope = 0.05

• C = 30 + 0.10t; slope = 0.10

• C = 30 + 0.20t; slope = 0.20

A school is selling tickets for a play. The tickets cost $8 each, and the school has a goal of selling 200 tickets. Write a linear equation to represent the total revenue (R) based on the number of tickets sold (t). What is the y-intercept?

• $1600

• $8

• 0

• 200

A gym charges a monthly fee of $25 plus $5 for each class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. Calculate the total cost if someone attends 4 classes.

• $30

• $50

• $35

• The total cost for attending 4 classes is $45.

A delivery service charges a flat fee of $15 plus $2 for each package delivered. Write a linear equation to represent the total charge (C) for delivering p packages. What is the slope and what does it represent?

• C = 10 + 2p; Slope = 2, representing the delivery fee.

• C = 15 + 3p; Slope = 3, representing the number of packages.

• C = 15 + 5p; Slope = 5, representing the total cost.

• C = 15 + 2p; Slope = 2, representing the cost per package.

A local bakery sells cupcakes for $3 each and cookies for $2 each. Write a linear equation to represent the total cost (C) for buying c cupcakes and k cookies. What is the y-intercept and what does it signify?

• C = 4c + 2k; y-intercept = 2, signifies the cost of one cookie.

• C = 3c + 2k; y-intercept = 0, signifies no cost when no items are purchased.

• C = 2c + 3k; y-intercept = 3, signifies the cost of one cupcake.

• C = 5c + k; y-intercept = 5, signifies the cost of five items.

A subscription service charges $10 per month plus $0.50 for each movie rented. Write a linear equation for the total cost (C) based on the number of movies (m) rented. Calculate the total cost if 8 movies are rented.

• 14

• $30

• $5

• $20