Question

If y varies directly with x and y is 32 when x is 12, which of the following represents the function?

A) Y= 8/3x
B) Y= 20x
C) Y= 3/8x
D) Y= 44x

Answer 1

The function representing the direct variation is Y = 8/3x.

Step-by-step explanation:

To represent a direct variation, we can use the equation y = kx, where k is the constant of variation. In this case, y varies directly with x, so we have y = kx. We are given that when x is 12, y is 32. We can plug these values into the equation to find k: 32 = k(12). Solving for k, we divide both sides by 12: k = 32/12 = 8/3. Therefore, the function representing the direct variation is option A) Y = 8/3x.