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.
Company 1:
Miles: 30 Rental Charge: $53.55
Miles: 60 Rental Charge: $87.15
Miles: 90 Rental Charge: $120.75
Miles: 120 Rental Charge: $154.35
Miles: 150 Rental Charge: $187.35
Company 2:
Miles: 25 Rental Charge: $56.75
Miles: 50 Rental Charge: $78.00
Miles: 75 Rental Charge: $99.25
Miles: 100 Rental Charge: $120.50
Miles: 125 Rental Charge: $141.75
I'm supposed to figure out much they charge per mile, but my teacher said doing 53.55 / 30 is wrong so can some one help me.
Company 1:
Miles: 30 Rental Charge: $53.55
Let's do some estimating.
If the charge is $1 mile, then 30 miles would cost $30 for Company 1. 60 miles would cost $60. You know that a charge of 53.55 for 30 miles must be between $1 and $2 a mile.
The only way to find the correct charge is divide 53.55 by 30.
Perhaps you or the teacher misunderstood.
To calculate the cost per mile for each company, you need to divide the difference in rental charges by the difference in miles.
For Company 1:
- From 30 to 60 miles, the rental charge difference is $87.15 - $53.55 = $33.60
- The miles difference is 60 - 30 = 30
So, the cost per mile for Company 1 is $33.60 / 30 = $1.12 per mile.
You can follow the same process for the other rental charge and mileage values provided for Company 1 to find the cost per mile for each range.
For Company 2:
- From 25 to 50 miles, the rental charge difference is $78.00 - $56.75 = $21.25
- The miles difference is 50 - 25 = 25
So, the cost per mile for Company 2 is $21.25 / 25 = $0.85 per mile.
Again, repeat this process for the other rental charge and mileage values provided for Company 2 to find the cost per mile for each range.
To figure out how much each company charges per mile, you need to calculate the additional cost per mile by subtracting the initial fee and dividing it by the number of miles.
For Company 1:
To find the additional cost per mile, you can subtract the initial fee from the rental charge and divide it by the number of miles. Let's take the first example:
Rental Charge: $53.55
Initial Fee: (unknown)
Let's assume the initial fee is x. So, we have:
$53.55 - x = additional cost per mile
For the first scenario, where the distance is 30 miles:
Additional Cost per mile = x / 30
You can repeat the same process for the remaining distances and calculate the additional cost per mile using the given rental charges for Company 1.
For Company 2:
Follow the same steps to calculate the additional cost per mile for Company 2:
Let's assume the initial fee is y. So, we have:
Rental Charge: $56.75
Initial Fee: (unknown)
$56.75 - y = additional cost per mile
Again, you can repeat the process for the remaining distances and calculate the additional cost per mile for Company 2 using the given rental charges.
Remember, you cannot directly divide the rental charge by the number of miles to calculate the cost per mile since it includes the initial fee as well.