Direct proportion is a mathematical relationship between two quantities where the ratio of the two numbers is equal to a constant value. In other words, if we increase one quantity, the other quantity will also increase, and if we decrease one quantity, the other quantity will also decrease. The symbol for direct proportion is ∝ . The formula for direct proportion is x ∝ y, which means that x and y are directly proportional to each other. The constant of proportionality is represented by the letter k, and it is a non-zero constant. The formula for direct proportion can be expressed as x/y = k or x = ky.
For example, if there are two quantities x and y where x represents the number of candies and y represents the total money spent, then x and y are directly proportional to each other. This means that if we increase the number of candies, the total money spent will also increase, and if we decrease the number of candies, the total money spent will also decrease.
Direct proportion is useful in numerous real-life situations such as exchange rates, conversion between units, and fuel prices. It is also important to note that direct proportion is different from inverse proportion, where an increase in one quantity leads to a decrease in the other quantity.
