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:

$\frac{1}{x}\text{ }\propto\text{y}$

If we write the general equation for this

$y=\frac{A}{x}$

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

$\begin{gathered} x=4 \\ y=3 \\ 3=\frac{A}{4} \\ A=4\cdot3 \\ A=12 \end{gathered}$

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

$y=\frac{12}{x}$