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

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

Explanation:

Let, Grace works for h hours per week.

For one hour she get $9.

For h hours she get .

So, the function that represents the Grace earning each week is defined as .

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 and the domain of the function is [10,20].