Question

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Which is a reasonable domain for the function f(x) = 10x + 8?
A. 0 < x < 6
B. 0 < x < 24
C. 0 < x < 68
D. 0 < x < 248

Answer 1

The correct option is;

A. 0 < x < 6

Explanation:

The given data indicates how much Jack is paid on hourly wage is presented here as follows;

Hours
`{}` Pay

1
`{}` 18

1.5
`{}` 23

2
`{}` 28

2.5
`{}` 33

3
`{}` 38

Given that the domain is the number of hours worked by Jack after school, and that he receives a set amount at all values of the number of hours worked, a reasonable domain is from 0, at which the pay is 8, to 6 which is less than the normal 8 hours a day job, as he works part time.

Therefore, the correct option is;

A. 0 < x < 6.