Find an equation of variation in which y varies inversely as x and y=12 when x=3. Then find the value of y when x=20

Question

Find an equation of variation in which y varies inversely as x and y=12 when x=3. Then find the value of y when x=20

Answer 1

First, let y=k/x. Now, we know that y=12 when x=3, so we can solve for k: 12=k/3, or k=12*3=36.

 

Now we have y=36/x. So y=36/20 when x=20. Thus, y= 9/5. Hope this helps!