Question

The variables x and y vary inversely. a. Use x=2 and y=4 to write an equation relating x and y. b. Then find y when x=4.

Answer 1

Equation relating x and y: y = 8/x

y = 2 when x = 4

Explanation:

Inverse variation equation:

The general equation for inverse variation is given by:

y = k/x, where

• k is the constant of proportionality.

Finding k and the equation relating x and y:

In order to find k and the equation relating x and y, we can plug in 2 for x and 4 for y:

(4 = k/2) * 2

8 = k

Thus, the equation relating x and y is y = 8/x.

Finding y when x = 4:

Now we can find when x = 4 by substituting 4 for x in y = 8/x:

y = 8/4

y = 2

Thus, y = 2 when x = 4.