Question

If you work for an hourly wage, your gross pay is a function of the number of hours that you work. If you earn $8 per hour, complete the following table:

Number of Hours
0
3
5
7
10
12
Gross Pay


If you were to plot the ordered pairs on a set of axes, in which quadrant would the domain and range of the function lie?
a.
8, 16, 24, 32, 40, 48; Quadrant I
b.
0, 24, 40, 56, 80, 96; Quadrant II
c.
8, 16, 24, 32, 40, 48; Quadrant II
d.
0, 24, 40, 56, 80, 96; Quadrant I

Answer 1

D is the answer

Explanation:

yw :)

Answer 2

1. Let
`x` be the number of hours that you worked. We know from our problem that your hourly wage is $8, so your hourly wage will be given by the linear function:
`y=8x`.
where

`f(x)` is your gross pay.

`x` is the number of hours that you worked.

To complete the table, we just need to evaluate the function at the given hours; in other words, we are going to replace
`x` with the number of hours in our linear function:

`y=8(0)=0`

`y=8(3)=24`

`y=8(5)=40`

`y=8(7)=56`

`y=8(10)=80`

`y=8(12)=96`

We can conclude that yous should fill your table as follows:
Number of Hours
0
3
5
7
10
12

Gross Pay
0
24
40
56
80
96

2. Remember that the domain of a function are the set of the x-values of the function; the range of a function are the set of y-values of the function. From our previous point, we can infer that the ordered pairs of the function are: (0,0), (3,24), (5,40), (7,56), (10,80), and (12,96). The y-values and hence the range of the function are: 0, 24, 40, 56, 80, 96. Remember that in the quadrant I both the x-coordinates and the y-coordinates are positive. Since all the coordinates of our points are positive, we can conclude that the correct answer is:
d. 0, 24, 40, 56, 80, 96; Quadrant I