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

Respuesta :

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

Explanation:

Let, Grace works for h hours per week.

For one hour she get $9.

For h hours she get [tex]\$(9\times h)=\$9h[/tex].

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

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 [tex]e(h)=9h[/tex] and the domain of the function [tex]e(h)=9h[/tex] is [10,20].