Question

Suppose that y varies inversely with x, and y=3 when x=4.

Answer 1

When y varies inversely as x it can be expressed as follows:

`(1)/(x)\text{ }\propto\text{y}`

If we write the general equation for this

`y=(A)/(x)`

When y=3 and x=4 we can calculate de value of A

`\begin{gathered} x=4 \\ y=3 \\ 3=(A)/(4) \\ A=4\cdot3 \\ A=12 \end{gathered}`

Then the equation that describes an inverse variation between x and y is_

`y=(12)/(x)`