Y varies inversely to x. If y= 7 when x= -4, what is y when x=5?

Step-by-step explanation:

, where k is a constant. (Since y varies inversely to x)

Let's find the value of k first.

when y=7, x= -4,

Thus,

When x=5,

  y = -5.6

Step-by-step explanation:

When x changes by a factor of 5/-4, y changes by a factor that is the inverse of that. (That's what varies inversely means.)

  y = (-4/5)(7) = -28/5

  y = -5.6