Question 1 of 5
A community center rents out canoes for a flat equipment fee plus an hourly rate. For a rental lasting hours, the total cost in dollars is modeled by . The average cost per hour of a rental is therefore for . Which expression is equivalent to the average cost per hour?
Explanation
The average cost per hour is total cost divided by the number of hours:
Split the fraction into two parts:
So the equivalent expression is .
Concept summary
To find an average rate from a total modeled by a rational expression, divide the total by the relevant quantity and simplify carefully across each term.