Question

Write a function rule to model the cost of renting a truck for one day. Then evaluate the function for the given number of miles:Daily rental: $19.95Rate per mile: $0.50 per mileMiles traveled: 73 miles

Answer 1

The total cost of renting a truck for one day is compounded by the cost for the day of rent plus the cost for the miles travelled.

The cost for the day is $19.95, while the cost for the total miles traveled is the cost per mile ($0.50) times the total number of miles traveled. Let's call M the miles traveled and C the total cost of renting the truck.

The model will be as follows:

`C=19.95+0.50\cdot M`

Now we need to evaluate the function for the given number of miles.

For this case, we are given that the miles traveled were 73.

Evaluating the function for M = 73:

`\begin{gathered} C=19.95+0.50\cdot73 \\ \\ C=19.95+36.5 \\ \\ C=56.45 \end{gathered}`

Then, the total cost for the rent of a truck for one day when 73 miles were traveled is $56.45.