Suppose x varies inversely as y. If x=9 when y=−2, find x when y=16. If you need to use a decimal place, round to 3 decimal places.

Answer 1

x = k/y

for x= 9, and y= -2

9 = k/-2

k = -2(9) = -18

x = -18/y

when y = 16

x = -18/16 = -9/8

x = -9/8 = - 1 1/8 = - 1.125

x = - 1.125 exactly. It's not rounded off.