How can properties of operations help to generate equivalent expressions that can be used in solving problems ?
1 answer:
You might be interested in
1. Let 
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: 
.
where
is your gross pay.
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 with the number of hours in our linear function:
We can conclude that yous should fill your table as follows:
<span>Number of Hours
0
3
5
7
10
12
</span><span>
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:
</span><span>d. 0, 24, 40, 56, 80, 96; Quadrant I</span>
where
To complete the table, we just need to evaluate the function at the given hours; in other words, we are going to replace
We can conclude that yous should fill your table as follows:
<span>Number of Hours
0
3
5
7
10
12
</span><span>
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:
</span><span>d. 0, 24, 40, 56, 80, 96; Quadrant I</span>