What is the direct variation equation for the table of ordered pairs?
x y
20 24
30 36
40 48
Question 4 options:
y = 1.2x
y = 0.2x
y = 24x
y = 2.1x
To determine the direct variation equation for the given table of ordered pairs, we need to find the constant of variation. The constant of variation is found by dividing any y-value by its corresponding x-value.
Using the first ordered pair (20, 24), we have:
k = y / x
k = 24 / 20
k = 1.2
The constant of variation is 1.2, so the direct variation equation is:
y = kx
y = 1.2x
Therefore, the correct answer is:
y = 1.2x