Answer
Equation: y=2.5x
y=30 when x=12
Work Step by Step
First, we know that the form of a direct variation is y=kx so lets plug in the coordinate given to us, in order to find k (the constant).
5=2k (Divide both sides by 2)
2.5=k
Now that we know the value of k, lets plug it back into the general equation in order to find the equation of the direct variation.
y=2.5x
Now that we found our equation, in order to find y when x=12, lets plug in 12 for x in our equation.
y=2.5(12) (Simplify)
y=30
