Question

The function c=15+9h represents the amount c it will cost you for a lawn care service of h hours per month.

Find the domain if 8 hours is the maximum number of hours you are billed for in any given month.

Answer 1

The domain of the function c=15+9h, considering the maximum number of hours billed per month is 8 hours, is [0, 8].

Step-by-step explanation:

The given function c=15+9h represents the lawn care service's cost as a function of hours worked, h. If a student is looking for the domain of this function considering that the maximum number of hours billed for in any given month is 8 hours, the domain would be all hour values from 0 to 8, inclusive. This is because the student cannot be billed for negative hours of work and cannot exceed the maximum of 8 hours as stipulated. Mathematically, the domain is [0, 8].