Answer:
Part 11) The table represent a direct variation. The equation is
Part 12) The table represent a direct variation. The equation is
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Part 11)
For x=0.5, y=9
Find the value of k
----->
For x=3, y=54
Find the value of k
----->
For x=-2, y=-36
Find the value of k
----->
For x=1, y=18
Find the value of k
----->
For x=-8, y=-144
Find the value of k
----->
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is
Part 12)
For x=-5, y=-2
Find the value of k
----->
For x=3, y=1.2
Find the value of k
----->
For x=-2, y=-0.8
Find the value of k
----->
For x=10, y=4
Find the value of k
----->
For x=20, y=8
Find the value of k
----->
The values of k is the same for each ordered pair
therefore
The table represent a direct variation
The linear equation is