Answer:
y = 36 when x = 12
Explanation:
General equation for direct variation:
The general equation for direct variation is given by:
y = kx, where
- k is the constant of proportionality.
Finding k:
- We can first find k by substituting 12 for y and 4 for x.
Finding k will allow to create an equation relating y and x:
(12 = 4k) / 4
3 = k
Thus, y = 3x is the equation relating y and x.
Finding y when x = 12:
Now we can find y when x = 12 by substituting 12 for x in y = 3x:
y = 3(12)
y = 36
Thus, 36 is the value of y when x = 12.