Directly Proportional Assignment Help

Direct proportion, also known as direct variation, is one of the vital concepts used in the field of Mathematics. It refers to the relation between two quantities where the ratio of two equals a constant value. Direct proportional is represented by the proportional symbol, α. The symbol is used for representing inversely proportional. When two quantities are multiplicatively connected by a constant, they are said to be proportional. When the ratio is constant, two quantities are considered to be direct proportional. 

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Direct and inverse proportion

When the ratio of values is constant at any instant time, two quantities are directly proportional to each other. When there is an increase in one quantity, there will be an increase in the other. The best example for this will be – The more we exercise, our body becomes more fi.

When the product of their values at any instant is constant, two variables are known to be inversely proportional to each other. When there is an increase in one quantity, there will be a decrease in the other. The perfect example will be “As we eat junk food, it affects our physical fitness”.

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Inverse Proportion Formula

The symbol α refers to the relationship between two quantities. Let x and y be two quantities. If you consider x and y to be inversely proportional, you can represent them as x α1/y. When the value of x increases, the value of y will decrease and vice versa. 

Students often struggle with the inverse proportion formula. If you find it difficult to calculate inverse proportion, our professionals can help you. Our experts have a thorough understanding of the inverse proportion formula.

Inverse Proportion Graph

How to work out proportion?

One of the ways of solving a proportion is cross multiplying. You may use the property called Means Extreme Property. The cross products will need to be equal.

Example: If your equation will be 3/x= 4/y, then 3y=4x

When you have a variable in your proportion, using the cross-multiply method, you will get an equation that is much easier to solve. In the cross-multiplying process, you will have to multiply diagonally and then set the two cross-products equal to each other. 

In the equation, you will multiply 3 and y together and set it equal to the multiplication of x and 4 together.

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Inversely Proportional Equation

For setting up the inversely proportional equation, you will require the following 4 simple steps:

Step 1: Write down the proportional relationship

Step 2: Use the constant of proportionality to convert it to an equation

Step 3: Use the information for finding the constant of proportionality

Step 4: Substitute the constant of proportionality into an equation

When xy=k, x=k/y is considered to be an inverse equation. By using the known values, you will be able to find the unknown values if you want to find the constant k.

Share your concerns with us if you ever face a problem setting up an inverse proportion equation. Our professionals will give you thorough guidance to set up a perfect equation for inverse proportion. 

Inverse Proportion Examples

An appropriate example of inverse proportion will be When there is a reduction of the number of workers, the total number of days gets increased for completing the construction of a bridge.

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