Question

If y varies directly as x, and y = 8 when x = 3, what is the value of y when x = 9?

A) 24
B) 8
C) 3
D) 72

Answer 1

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.