a car rents for $35. plus 18 cents per mile your daily budget is $71. What mileage will allow you to stay within your budget?
35+.18x = 71
Subtract 35 both sides
You are left with .18x=36
Divide .18 both side you are left with
X=200
To calculate the mileage that will allow you to stay within your budget, you need to determine how many miles you can drive while still keeping your total cost below or equal to $71.
Let's break down the cost:
- The daily rental fee is $35.
- Additionally, there is a charge of 18 cents per mile.
So, the equation representing the total cost can be written as:
Total Cost = Rental Fee + (Mileage * Per Mile Charge)
We need to find the mileage (Mileage) that satisfies the condition: Total Cost ≤ $71.
Now, let's substitute the known values into the equation:
Total Cost = $35 + (Mileage * $0.18)
Setting this total cost equal to $71, we have the equation:
$71 = $35 + (Mileage * $0.18)
To solve for Mileage, we can rearrange the equation:
(Mileage * $0.18) = $71 - $35
(Mileage * $0.18) = $36
Divide both sides by $0.18 to isolate Mileage:
Mileage = $36 / $0.18
Calculating the division, we get:
Mileage = 200
Therefore, to stay within your budget of $71, you can drive up to 200 miles.