What is the direct variation equation for the table of ordered pairs?

Question

x y
20 24
30 36
40 48


Question 4 options:

y = 1.2x

y = 0.2x

y = 24x

y = 2.1x

Answer 1

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