What is direct and inverse variation??
دو جواب
Answers
Numerically: Direct Variation: Because k is positive, y increases as x increases. So as x increases by 1, y increases by 1.5. Inverse Variation: Because k is positive, y decreases as x increases.
Answer:
Direct variation means when one quantity changes, the other quantity also changes in direct proportion. Inverse variation is exactly opposite to this. In this article, you will learn the definition of Direct and inverse variations along with some solved examples.
A few situations in life have either a direct or indirect relationship with each other:
As the bill at the shopping centre increases, the amount to be paid also increases.
As the speed of the car decreases, the time taken to reach the destination increases.
If the two values of the objects are related in such a way that an increase or decrease in the value of one object affects the value of the other, which is termed as a variation. The two types of variation are:
Direct Variation
The quantities are said to be in direct proportion if:
An increase in the quantity A leads to an increase in quantity B and vice versa, provided their respective ratios are the same.
The methods to solve direct variation problems are tabular and unitary method.
Direct variation is represented as follows:
Y = KX, where K is the constant of proportionality.
Inverse Variation
The quantities are said to be in inverse proportion if:
An increase in the quantity A leads to a decrease in quantity B and when A increase at that time
b decrease