Question

Suppose y varies directly as x and y=24 when x=8 find x when y =60

Answer 1

If y varies directly as x, it means that the ratio of y to x is constant. This can be expressed as y = kx, where k is the constant of variation.

Given that y = 24 when x = 8, we can find the constant of variation by substituting these values into the equation: 24 = k * 8. Solving for k gives k = 24 / 8 = 3.

Now that we know k = 3, we can find x when y = 60 by substituting these values into the equation and solving for x: 60 = 3 * x. Solving for x gives x = 60 / 3 = 20.

So, when y = 60, x = 20.