Linear Functions: Write Equations from Real-World Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation that represents the total cost (C) as a function of miles driven (m).

• C = 0.20m - 50

• C = 50 + 0.50m

• C = 50 + 0.20m

• C = 50 - 0.20m

A store sells notebooks for $2 each and pens for $1 each. If you buy 5 notebooks and 3 pens, write an equation to represent the total cost (T) of your purchase.

• T = 10

• T = 15

• T = 13

• T = 8

A gardener is planting flowers in a straight line. If he plants 3 flowers every hour, write an equation that represents the number of flowers (F) planted after h hours.

• F = 3h

• F = h/3

• F = 3 + h

• F = 3h + 1

A taxi charges a base fare of $3 plus $1.50 for each mile driven. If you graph the total fare against the miles driven, what is the slope of the line?

• $3.00

• 1.50

• $1.00

• $2.00

A school is organizing a field trip. The cost per student is $15, and there are 20 students. Write an equation to represent the total cost (C) for the trip based on the number of students (s).

• C = 15s

• C = 20s

• C = 300s

• C = 15 + s

A factory produces 100 toys per hour. Write an equation that represents the total number of toys (T) produced after h hours of operation.

• T = 100h

• T = 100h + 50

• T = 100 + h

• T = h/100

A water tank fills at a rate of 5 liters per minute. Write an equation to represent the volume of water (V) in the tank after t minutes.

• V = t/5

• V = 10t

• V = 5t + 2

• V = 5t

A bike rental shop charges a one-time fee of $10 and $2 for each hour rented. If you graph the total cost against the hours rented, what does the y-intercept represent?

• The y-intercept represents the maximum cost of renting a bike.

• The y-intercept represents the one-time fee of $10.

• The y-intercept represents the total cost after 5 hours.

• The y-intercept represents the cost per hour of rental.

A delivery service charges $5 for the first mile and $2 for each additional mile. Write an equation to represent the total cost (C) based on the number of miles (m) driven.

• C = 5m + 2

• C = 5 + 2m

• C = 3m + 5

• C = 2m + 3

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write an equation to represent the total cost (C) for a month based on the number of classes (c) attended.

• C = 30c + 5

• C = 5 + 30c

• C = 30 - 5c

• C = 30 + 5c