A graph of variations which is often used in mathematics to describe how one quantity varies with respect to another.
Variables:
Let us understand the concept of variables using an example.
Priya exercises every few hours a day to burn her calories. There are \(2\) variables involved here.
- Number of hours
- Calories burned
If the number of hours she exercises increases daily, then the amount of calories burns more daily. Thus, the number of hours is the independent variable, and the calories burned is the dependent variable.
Important!
An independent variable is a quantity that is changed to observe its effect on another variable to understand the scenario.
A dependent variable is a quantity whose value depends on the independent variable.
Constants:
Let us understand the concept of constants using an example.
Karthick went to the stationary shop to buy pens. The cost of \(1\) pen is \(Rs. 5\). If \(C\) represents the total cost, and \(x\) represents the number of pens he bought, then it can be written as:
\(C = 5x\)
Where \(5\) is the constant, which remains the same throughout the situation.
A constant is a number/value that remains the same throughout the specific expression/equation.
Types of variation:
- Direct variation
- Indirect variation