Final answer:
The value of y when x = 9 is 24 in a direct variation equation.
Step-by-step explanation:
The given problem states that y varies directly as x. This means that the relationship between y and x can be represented by an equation in the form y = kx, where k is a constant called the constant of variation.
We are given that y = 8 when x = 3. Substituting these values into the equation, we can solve for k:
8 = k * 3
k = 8 / 3
Now that we have the value of k, we can substitute it back into the equation to find the value of y when x = 9:
y = (8 / 3) * 9
y = 24
Therefore, the value of y when x = 9 is 24.