Steven is moving to another city next weekend and wants to rent a moving truck. The rental rates for two companies in his area are shown below. Each company charges an initial fee for renting the truck, plus an additional amount per mile.
Calculate how much each company charges per mile, and then compare their rates for a specific mileage.
Company 1 charges $
1.12
per mile and Company 2 charges $
.85
per mile.
If Steven plans to drive a total of 85 miles in the rental truck, which company is cheaper, and how much cheaper?
Company
is $
cheaper.
To calculate how much each company charges per mile, we need to divide the additional amount per mile by the initial fee for renting the truck.
For Company 1:
Charge per mile = $1.12
For Company 2:
Charge per mile = $0.85
Now, let's calculate the total cost for each company based on the specific mileage of 85 miles:
For Company 1:
Total cost for Company 1 = (Initial fee for renting the truck) + (Charge per mile * mileage)
Total cost for Company 1 = 85
For Company 2:
Total cost for Company 2 = (Initial fee for renting the truck) + (Charge per mile * mileage)
Total cost for Company 2 = 0.85 * 85
Now, we can compare the total costs for each company and determine which one is cheaper:
If we compare the total costs:
Total cost for Company 1 = 85
Total cost for Company 2 = 0.85 * 85
Let's calculate:
Total cost for Company 1 = 85
Total cost for Company 2 = 72.25
So, Company 2 is cheaper than Company 1 for a specific mileage of 85 miles. It is $12.75 cheaper.
To calculate the cost difference between the two companies, we need to multiply the number of miles driven by the cost per mile for each company.
For Company 1:
Cost per mile: $1.12
Number of miles driven: 85
Total cost for Company 1: $1.12 * 85 = $95.20
For Company 2:
Cost per mile: $0.85
Number of miles driven: 85
Total cost for Company 2: $0.85 * 85 = $72.25
Now, we can compare the total costs for each company.
Company 1 charges $95.20 for a total of 85 miles.
Company 2 charges $72.25 for a total of 85 miles.
Therefore, Company 2 is cheaper than Company 1 by a difference of $95.20 - $72.25 = $22.95.