We will discuss here about establishing an equation.
In a given context, the relation between variables expressed by equality (or inequality) is called a formula. When a formula is expressed by an equality, the algebraic expression is called an equation.
Step I: Symbolize the variables of the context by a, x, A, X, etc.
Step II: Use the laws or conditions of the context to establish equality (or inequality) between the variables.
This equality (or inequality) between the variables is a formula for the variables . In case of equality, we get an equation.
Solved examples on establishing an equation or framing a formula:
1. Let the base of a triangle be b, its height h and the area A.
The context is form mensuration. We know that
area of a triangle = \(\frac{1}{2}\) × base × height.
Therefore, A = \(\frac{1}{2}\) bh. This is the formula for the given context.
It generates a simple rule of mensuration for finding the area of a triangle.
2. Let a sum of $ P be invested in a bank at a simple interest rate of r% per annum for a period of n years. At the end of n years an amount of $ A is obtained.
The context is form arithmetic. We know that
Amount = Principal + Interest.
We know that
Interest = \(\frac{\textbf{Principal × Rate × Time}}{100}\)
Therefore, A = P + \(\frac{\mathrm{P \times r \times n}}{100}\)
This is the formula for the given context.
`From Establishing an Equation to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.