Question

Solve the equation below and find the variation constant, k. Find x when y = 32, if y varies inversely as x, and y = 10 when x = 40

Answer 1

Given: y=10 then x=40

We use cross multiplication and set it up as a fraction.

`(x)/(40)=(32)/(10)\text{ }\Rightarrow10x=32*40\text{ }\Rightarrow10x=1280\Rightarrow(10x)/(10)=(1280)/(10)`

So you just divide 10 on both sides to get x by itself.

Answer: x=128