Rational Functions: Direct and Inverse Variation

Finding Direct Variation Equations

Suppose y varies directly as x, and y = 12 when x = 6. How can you find the direct variation equation of this scenario?

The first step is to find the constant of variation or k. Write the general equation y = kx. You know
y = 12 and x = 6. Substitute these values into the general equation.

y = kx
12 = k(6)
k = 2

The next and final step is to use the general equation and write the direct variation equation, y = 2x.