Suppose z varies inversely with t and that z=6 when t=8. What is the value of z when t=3?
The general form of an Inverse Variation is given by
In the equation above, observe that when the value of
This the reason why it is called an Inverse Variation.
For the problem we are solving, the equation is written as
It is given that
Problem says that
Now you can find
Cross-multiply to solve for
Your inverse equation now becomes
Next, we need to determine the value of
which is the required answer.
Hope it helps.