So the bigger the value of x, the smaller the value of y will be.

That's inverse variation: as one goes up, the other goes down.

This is also called direct proportion: they're the same thing.

An example of this is relationship between age and height.

But that's not so terrible: the variation is defined in terms of a squared, so we'll just put in a squared for y.

We could also plug it in for x; it doesn't matter, as long as you're consistent.It looks pretty impenetrable at first, but don't panic.Pull out your equations, and start plugging things in.This might seem really complicated and confusing, but just remember the two formulas: y = kx for direct variation, and y = k/x for inverse variation.As you practice with example problems, you'll learn how to apply them to specific problems.As the age in years of a child increases, the height will also increase.In the abstract, we can express direct variation by using the equation y = kx.For example, maybe y = 2x: this means that for every increase in x, y will increase by double that amount.You can see that the bigger the number you plug in for x, the bigger the resulting value of y will be.In this problem, we're trying to isolate a, so it makes more sense to put it all by itself on one side of the equation; this will make the math easier later on.Next, we have 'the sum of 3 and b, or in math terms, b 3 instead of plain old b.

## Comments Inverse Variation Problem Solving

## Proportion, Direct Variation, Inverse Variation, Joint Variation

This section defines what proportion, direct variation, inverse variation, and joint variation are and explains how to solve such equations. Occasionally, a problem involves both direct and inverse variations. Suppose that y varies directly as x.…

## Inverse Variation Examples - Shmoop

If y varies inversely with x, and the constant of variation is 24, find y when x = 8. Given that x and y vary inversely, write the equation relating x and y if x = 3.…

## Ratio and proportion - Math Exercises

Word problems, Solve proportions, Solve proportions word problems. scale factors, direct proportion, inverse proportion, equal shares, mixture problems, time.…

## Applications and Variation

Solve applications involving uniform motion distance problems. Solve work-rate. Set up and solve applications involving direct, inverse, and joint variation.…

## Word Problems, Percentages, and Direct/Inverse Variation

A Strategy for Mathematical Problem Solving – The First Step is. Admitting You Have a Problem. 1. Read the problem carefully. In particular, make sure that you.…

## GMAT Algebra - Direct vs Inverse Variation Questions

Learn the difference between direct and inverse variation questions to. Key to solving direct variation problems Set up a proportion and cross.…

## Inverse variation word problem - SlideShare

The lesson is about problems involving inverse variation. SOLVE FOR THE INDICATED VARIABLE IN EACH OF THE FOLLOWING 1.…

## Direct variation and inverse variation - Onlinemath4all

Direct Variation and Inverse Variation - Practice Problems. Problem 1 75 basketballs cost $1143.75. Find the cost of 26 basketballs. Solution This is a situation.…