Question

If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3.

Answer 1

Since y varies inversely to x
xy = k
so 5*-2 = -10

plug x and k into xy = k

-10 = 3y
divide both sides with 3
y = -10/3  or -3.3333

Answer 2

Y varies inversly as x means
y=k/x

k is constantt
find k

so
5=k/-2
times -2 both sides
-10=k

y=-10/x

when x=3

y=-10/3