Question

The cost of hiring a plumber, y, to work x hours on a project can be modeled using a linear function. The plumber charges a fixed cost of $70 plus an additional cost of $35 per hour. The plumber works a maximum of 9 hours per day. For one day of work, what are the domain and range of the function for this situation?

Answer 1

Answer: The range of the function is

Consider the provided information.

The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour.

Let plumber works for x hours, then the required linear function will be:

The plumber works a maximum of 8 hours per day.

That means the minimum value of x is 0 and maximum value of x is 8.

We need to find the range of the function.

Range of the function is the set of y values.

Substitute x=0 in above function,

Now substitute x=8 in above function.

Hence, the range of the function is