Question

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –2 and y = 5?

Answer 1

Answer: -10.

Step-by-step explanation: We are given the inverse variation equation xy = k

We need to find the value of the constant of variation, k for given values x = -2 and y=5.

In order to find the value of the constant of variation, k we need to plug the values of x and y in given inverse variation equation xy = k and solve for k.

Plugging x=-2 and y =5, we get

xy = k => (-2) (5) = k.

On multiplying -2 and 5, we get -10.

Therefore, k = -10.

Therefore, the constant of variation k value is -10.