if y varies inversely with x and y=-16 when x=-64 what is the constant of variation

Answer 1

To find the constant of variation in an inverse variation, we can use the equation y = k/x, where k is the constant of variation.

Given that y varies inversely with x, we have the equation y = k/x.

We are also given that y = -16 when x = -64. Substituting these values into the equation, we get:

-16 = k / -64

Multiplying both sides by -64, we get:

-16 * -64 = k

k = 1024

Therefore, the constant of variation in this inverse variation is 1024.