# Suppose z varies inversely with t and that z=6 when t=8. What is the value of z when t=3?

##### 1 Answer

#### Answer:

#### Explanation:

The general form of an **Inverse Variation** is given by

**unknown constant** with

In the equation above, observe that when the value of **constant**, the value of

This the reason why it is called an **Inverse Variation**.

For the problem we are solving, the equation is written as

**Constant of Proportionality**

It is given that **varies inversely** as

Problem says that

Now you can find

Use

Rewrite as

**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.