Question

Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. The function e(h) represents her earnings each week . Describe an appropriate domain of this function

Answer 1

Solution: The function that represents the Grace earning each week is defined as
`e(h)=9h`, where
`e(h)` is in dollar and
`h` is the time in hours. domain of the function
`e(h)=9h` is [10,20].

Step-by-step explanation:

Let, Grace works for h hours per week.

For one hour she get $9.

For h hours she get
`\$(9* h)=\$9h`.

So, the function that represents the Grace earning each week is defined as
`e(h)=9h`.

It is given that she works from 10 to 20 hours per week, therefore the value of h lies between 10 to 20. Hence the Grace's earnings for each week is defined as
`e(h)=9h` and the domain of the function
`e(h)=9h` is [10,20].