If he covers x kilometers in a year, an expression for the total cost of traveling x kilometers is the total cost
and the average total cost per kilometer is the average cost
.
How the total cost and the average total cost are computed:
Fixed costs (annual):
Road tax: 50 birrs
Insurance: 10 birrs
Variable costs (per kilometer):
Fuel: The car does 30 miles per gallon and fuel costs 75 cents per gallon.
We need to convert this to cost per kilometer.
1 mile is approximately 1.60934 kilometers
1 gallon is approximately 3.78541 liters.
The fuel cost per kilometer =
cents.
Service: The car is serviced every 3,000 kilometers for birr 20
The service cost per kilometer
birr.
Depreciation: Depreciation is calculated in cents by multiplying the square of the mileage (in kilometers) by 0.01.
The depreciation cost per kilometer =0.01x cents.
An expression for the total cost of traveling x kilometers in a year:
Total cost = Fixed costs + Variable costs = (50 birrs + 10 birrs) + x * (Fuel cost per km + Service cost per km + Depreciation cost per km)
Total cost
Average cost
Complete Question:
A motorist has to pay an annual road tax of 50 birrs and 10 birr for insurance his car does 30 miles to the gallon which costs 75 cents per gallon. The car is serviced every 3,000 kilometers for 20 birr, and depreciation is calculated in cents by multiplying the square of the mileage by 0.01.
If he covers x kilometers in a year, compute an expression for the total cost of traveling x kilometers and the average total cost per kilometer.