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  1. The symbol for "directly proportional" is . (Don't confuse it with the symbol for infinity ∞) Example: you are paid $20 an hour. How much you earn is directly proportional to how many hours you work. Work more hours, get more pay; in direct proportion. This could be written: Earnings ∝ Hours worked. If you work 2 hours you get paid $40.

    • Ratios

      Example: A Recipe for pancakes uses 3 cups of flour and 2...

    • Infinity

      Example: in Geometry a Line has infinite length. A Line goes...

  2. A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘.

  3. If one value is inversely proportional to another then it is written using the proportionality symbol \(\propto\) in a different way. Inverse proportion occurs when one value increases and the...

  4. Direct and inverse proportion contrast as follows: in direct proportion the variables increase or decrease together. With inverse proportion, an increase in one variable is associated with a decrease in the other.

  5. In mathematics, when two quantities change in a way that one quantity is a constant times the other, they are said to be proportional. The symbol aptly captures this relationship, simplifying mathematical expressions and relations.

  6. Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, . In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

  7. Direct proportion and inverse proportion are two kinds of proportional relationships in math describing the relation between two variables. Here are their key differences in the table below: How to Use Direct Proportion to Solve Problems. Let’s understand this with the help of an example.

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