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Inversely Proportional: when one value decreases at the same rate that the other increases. Example: speed and travel time Speed and travel time are Inversely Proportional because the faster we go the shorter the time.
Two variables are called inversely proportional, if and only if the variables are directly proportional to the reciprocal of each other. Or we can say when two variables or quantities are in inverse proportion, then the product of the two variables is equal to a constant value.
Two variables are inversely proportional (also called varying inversely, in inverse variation, in inverse proportion) if each of the variables is directly proportional to the multiplicative inverse (reciprocal) of the other, or equivalently if their product is a constant.
What is Inversely Proportional? In Mathematics and Physics, we learn about quantities that depend upon one another, and such quantities are termed as proportional to one another. In other words, two variables or quantities are proportional to each other, if one is varied, then the other also changes by a fixed amount.
What is inverse proportion? Inverse proportion is a type of proportionality relationship. If two quantities are inversely proportional then as one quantity increases, the other decreases. An example of inverse proportion would be the hours of work required to build a wall.
Two variables a and b are said to be inversely proportional if; a∝1/b. In this case, an increase in variable b causes a reduction in the value of variable a. Similarly, a decrease in variable b causes an increment in the value of variable a.
When two quantities are related to each other inversely, i.e., when an increase in one quantity brings a decrease in the other and vice versa then they are said to be in inverse proportion. In inverse proportion, the product of the given two quantities is equal to a constant value.
