SOLUTION: Assume that y varies inversely as x. If y = 4 when x = 1/2, find y when x = 2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Assume that y varies inversely as x. If y = 4 when x = 1/2, find y when x = 2      Log On


   

Question 43943: Assume that y varies inversely as x. If y = 4 when x = 1/2, find y when x = 2
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse relationship is written as
y = k/x
Now plug in to find k...
4 = k/(1/2) and
k = 2
Now rewrite it with the new k and the new data to find y...
y = 2/x
y = 2/2
y = 1