Question

Jake is starting a dog walking service he charges a flat rate of $5 plus an additional $10 per hour regardless of the number of dogs create a function

Answer 1

To create a function that models Jake's dog walking service pricing, we can define the function based on the total cost of the service.

Let:
- \( C \) be the total cost in dollars,
- \( h \) be the number of hours walked.

The cost structure consists of a flat rate of $5 plus an additional $10 for each hour of dog walking. Thus, we can express this as:

\[
C(h) = 5 + 10h
\]

### Function Definition:
- \( C(h) \) is the cost of the service based on the number of hours \( h \).

### Example Calculations:
- If Jake walks the dogs for 1 hour:
\[
C(1) = 5 + 10(1) = 15 \text{ dollars}
\]

- If he walks the dogs for 3 hours:
\[
C(3) = 5 + 10(3) = 35 \text{ dollars}
\]

Thus, the function \( C(h) = 5 + 10h \) represents the total cost of Jake's dog walking service based on the number of hours walked.