Question

if y varies inversely with x, write an equation x=9 and y=4

Answer 1

The equation that represents the inverse variation of y with x is y = k/x, where k is the constant of variation.

To find the value of k, we plug the given values of x and y into the equation:

4 = k/9

To solve for k, we can multiply both sides of the equation by 9:

4 * 9 = k
k = 36

Therefore, the equation that represents the inverse variation of y with x is y = 36/x.