Suppose y is inversely proportional to x. If y = 2

when x = 3, find the constant of proportionality
(k). Write a formula for y then uses it to find x
when y = 8.

y is inversely proportional to x <-----> y = k/x

if y=2, x = 3
2 = k/3
k = 6

y = 6/x

so plug in y = 8 and solve for x