How To Solve Variation Problems

There are two primary types of variation: direct variation and inverse variation.We’ll look at these first, and then take a look at two extensions of these concepts: joint variation and combined variation.If the cross products are equal, the ratios are equal.

There are two primary types of variation: direct variation and inverse variation.We’ll look at these first, and then take a look at two extensions of these concepts: joint variation and combined variation.If the cross products are equal, the ratios are equal.

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The problem gives us the ratio of 3 gallons of paint to cover 100 square feet.

We can use this information to set up our proportion: Cross-multiply and solve for is called the constant of variation.

Two ratios are said to be equal if, when written in fractional form, the fractions are equivalent fractions.

You can compare and solve ratios using cross multiplications.

If two things are directly proportional, you can bet that you'll need to use the formula for direct variation to solve!

In this tutorial, you'll see how to use the formula for direct variation to find the constant of variation and then solve for your answer.

When we say " is simply the product of the known values for the two variables.

Let’s consider the following example: A particular hotel has a custodial staff of 12 employees, and they can typically clean all of the hotel rooms in 6 hours.

In the paint example, the number of gallons of paint varies directly with the square footage that will be covered. You would then have: When two variables or quantities change in opposite directions, you have inverse variation.

Let’s take a look at an example: The time it takes to paint a house varies with the number of people doing the work.