y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation? Round your answer to the nearest hundredth, if necessary.

Respuesta :

If y varies inversely with x, then we know that:

y = k/x

We are given x and y, so plug in the numbers and solve for k.

1.5 = k/6.4

k = 1.5*6.4

k = 9.6