NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions takshilalearning.com/ncert-solutions-for-class-8-maths-chapter-13-direct-and-inverse-proportions/ July 8, 2022
NCERT Solutions Direct and Inverse Proportions
Direct Proportion and Inverse Proportion Class 8 NCERT Sometimes a change in the ratio of one amounts to a change in the ratio of another! For example, the more apples you buy, the more money you have to pay. Similarly, increasing the speed of a vehicle will reduce the time it takes to cover some distance. The first is an example of direct proportionality, and the second is an example of measurements of inverse proportions. Direct and inverse ratios show how two quantities are related. Their relationship is known as direct or inverse. The symbol used to indicate proportionality is ‘∝. ‘ For example, if ‘a’ is said to be proportional to ‘b,’ it gets represented as “a∝b.” Furthermore, when we say ‘b’ is the inverse of ‘a’, it is represented as a∝ 1 / b.x
What is direct proportion? Direct Proportion: Suppose you have increased the number of books in your bag. What will happen to its weight? And will increase. Of course, it will, so we call it a direct ratio. We can take two measurements, x, and y, which are assumed to be in direct proportion. Now, what does that mean? It means that the ratio of these two dimensions, x, and y, will always increase and continually decrease by their corresponding values. We can understand this with the help of an equation. Suppose x / y = k, where k is a positive number or a constant, then x and y are said to vary directly. If y1 and y2 are the values of y corresponding to x1 and x2 of x, respectively, then we can say: The ratio is direct between two values when one is multiplied by the other.
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