Question

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? y = one-ninth y = two-thirds 54 96

Answer 1

2/3

Explanation:

To find the value of k, we can use the given information that y is 6 when x is 72. Plugging these values into the equation, we have:

6 = k * 72

To solve for k, we divide both sides of the equation by 72:

k = 6/72 = 1/12

Now that we know the value of k, we can use it to find the value of y when x is 8. Plugging x = 8 into the equation y = kx, we have:

y = (1/12) * 8 = 8/12 = 2/3

Therefore, when x is 8, y is 2/3.