Question

Meagan will be using a moving truck to move her belongings to another location. She is trying to decide from which company to rent the moving truck:
• Option 1: Truck A offers a flat fee of $25 and $.50 per mile.
• Option 2: Truck B offers a flat fee of $30 and $.25 per mile.

Suppose Meagan would like to know when the costs are equal between the two companies.

Write an equation that shows the costs are equal.

Answer 1

let number of miles be x

when is
.5x + 25 = .25x + 30
times 4
2x + 100 = x + 120
x = 20

equal at 20 miles

Answer 2

Meagan will be using a moving truck to move her belongings to another location. She is trying to decide whether to rent Truck A or Truck B:

Option 1: Truck A offers a flat fee of $35 and $0.45 per mil
Option 2: Truck B offers a flat fee of $40 and $0.25 per mil
Suppose Meagan needs to drive the truck 15 miles to her new home.

Question Answer
What is the cost of using Truck A? $
35.45
What is the cost of using Truck B? $
40.25
Which company offers the better deal at this mileage?