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].

Explanation:

Let, Grace works for h hours per week.

For one hour she get $9.

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

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].