The variables x and y vary inversely, and y = 2 when x = 1. Write an equation that relates x and y. Then find y when x = –8.

Answer 1

To vary inversely means.

xy = k or y = k/x

To solve for k for this case

2 = k/1 or k = 2

So

y = 2/x

when x = -8

y = 2/-8 = -1/4