ଅନୁପାତ ଓ ସମାନୁପାତ || RATIO & PROPORTION CLASS 9 IN ODIA || ଅନୁଶୀଳନୀ-6 || Exercise-6 || Q NO. 14
Автор: Revolution Education
Загружено: 2021-12-13
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#Class9Algebra #RatioAndProportion #Exercise6 #RevolutionEducation
When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
What is Constant of Proportionality?
Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant. The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.
Direct Variation: The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate. Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ x
Inverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example:The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/x.
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