E-Math: How to Translate a "Proportion Statement" Into an Equation

(Photo Credit:Jeff Keen)

I love to use everyday life examples to teach Math Concepts, it's more interesting to me and my students.

Today, I'm going to use the concept of 'See-Saw' to share with you on 'How to Translate a "Proportion Statement" Into an Equation'

At the end of this post, you will be able to translate all types of statement (be it inversely proportion or direct proportion) into an equation (some called it a formula)

Direct Proportion statement:

You need to first understand what's Direct Proportion (Read all about it here)

Let's look at an example: Given y is directly proportional to [pmath]{x^2}[/pmath], write an equation connecting x, y and a constant k.

So, in simple terms, when y increases, x increases too.

Inverse (Indirect) Proportion statement:

Given y is inversely proportional to [pmath]{x+2}[/pmath], write an equation connecting x, y and a constant k.

This is similar to the situation when a See-Saw is in Up-Down position. y is up while (x+2) is down. You can also see it from another point: y is in the numerator while (x+2) is in the denominator or when y increases, x decreases.

I hope you have understand the easier way to translate statements into equations for proportionality question.

In my next post, I will be sharing the various approaches in solving a proportionality question and the hint to look out for in order to use the correct approach.