Question

Assume that y varies inversely as x.
If y = 10 when x = 5, find y when x = 2.

Answer 1

inverse variation follows the format

y= k/x

you're given y=10 ,x=5 so first we find value of k.

10 = k/ (5)

k = 5(10) = 50.

Now we're trying to find y when x=2 so you use the same formula,but this time use k=50 and x=2.

y = k/x

y = 50 / 2

y = 25