Question

The daily cost of having an electrician, y, to work x hours on a repair project can be modeled using a linear function. The electrician charges a fixed cost of $90 plus an additional cost of $42 per hour. The electrician works a maximum of 7 hours per day. For one day at work, write the domain of the function for this situation?

Answer 1

We have that the cost of the electrician is given according to the next function:

`f(x)=42x+90`

If we can see, the question tells us that the electrician works a maximum of 7 hours per day.

Then, for one day at work, the domain of the function is:

`0\leq x\leq7`

Then, the domain is the previous expression.