Respuesta :
Answer: The required value of h is 10.
Step-by-step explanation: Given that an electrical company uses the following function to calculate the total repair bill f(h) for h number of hours worked :
[tex]f(h)=15h+75~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of h if f(h) = $225.
To find the required value of h, we need to substitute the value of f(h) in equation (i) as follows :
[tex]f(h)=15h+75\\\\\Rightarrow 225=15h+75\\\\\Rightarrow 15h=225-75\\\\\Rightarrow 15h=150\\\\\Rightarrow h=\dfrac{225}{15}\\\\\Rightarrow h=10.[/tex]
Thus, the required value of h is 10.