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
B
Hope this helps helps helps
32/8 + 12 =16
8 got into 82 4 times
4 +12=16
The equation would be y=2/3x+4
So to finish the equation, you would need the slope and the y-intercept. The y-intercept is where the line hits the y-axis. So it hits the y-axis at (0,4), making the y-intercept 4.
Next find the slope. Do this by picking two points and plugging it into the equation
y2-y1/x2-x1
(0,4) (3,6)
6-4/3-0
2/3
So it would be y=2/3x+4
Answer:
y is equal to 24
Step-by-step explanation:
If y is directly proportional to x when x is equal to 5 and y is 12, then when you multiply 5 by 2 which is 10, y will be proportional to that when you multiply 12 by 2 which is 24