Question

The pair of values below is from an inverse variation. Find the missing value. (4,14), (10,y)

Answer 1

Hi there! Not 100% percent sure if it's the same here, but it wasn't too long ago we learned about inverse relationships in Chemistry. The formula goes as follows:

x1y1 = x2y2

Now you just have to plug in the information.

4 x 14 = 10 x y2

What do you do now? You isolate the variable, y2. You do this by dividing y2 by the number it is multiplied.

Like this: $\frac{y2}{10}$

As we all know, what you do to one side you must do to the other. But before you do that, you need to multiply the 4 by the 14.

4 x 14 = 56

Now you can divide by 10.

$\frac{56}{10}$

The answer should be 5.6. Hopefully this helped!