Question

If you work for an hourly wage, your gross pay is a function of the number of hours that you work. Your hourly wage is $8 per hour. Assuming you work 40 hours per week, what is the practical domain and the practical range of the function? a. The practical domain is 0 through 8. The practical range is 0 through 32. b. The practical domain is 0 through 320. The practical range is 0 through 40. c. The practical domain is 0 through 40. The practical range is 0 through 320. d. The practical domain is 0 through 32. The practical range is 0 through 8.

Answer 1

The correct option is C.

Explanation:

It is given that gross pay is a function of the number of hours that you work.

Let y represents the gross pay and x represents the number of hours. So, the value of x and y can be negative.

Hourly wage = $8 per hour.

The weekly gross pay function is

`y=8x` .... (1)

Domain is the set of inputs and ranges is the set of outputs.

It is given that you work 40 hours per week. It means the value of x lies between 0 to 40.

Domain = [0,8]

Substitute x=40 in equation (1), to find the gross pay when number of hours is 40.

`y=8(40)=320`

Range = [0,320]

The practical domain is 0 through 40. The practical range is 0 through 320.

Therefore the correct option is C.