Rate of Change Formula

In today's session we are going to discuss about Rate of Change Formula. Hello students, in this session we are going to discuss the rate of change formula. But before discuss the rate of change formula we should know first the means of rate of change. Rate of change means a ratio between changes in a one variable that is comparative changes in another variable. The rate of change is expressed by the slope of line.

Let’s take an latest example the rate of change of the petrol price is now so high because in 2009 the petrol price was 40 rupees per liter approx and now(2012) the petrol price is 80 rupees per liter approx.
So rate of change definition also states that a speed on which a particular variable alters over a definite interval of time. The formula of rate of change is similar to the slope of the equation. So it will be: -
Slope y₂ - y₁ / x_{2 –} x₁
Rate of change x with correspond to y is dx / dy
Rate of change y is dx / dy
Let’s take an example to clear it more.
Example 1: Determine the rate of change of the following points
(5, 6) and (2, -3)
Solution: -
We have points x₁ = 5, x₂ = 2 and y₁ = 6, y₂ = -3
Formula:-
Rate of change = y₂ - y₁ / x_{2 –} x₁
= -3 - 6 / 2 – 5
= -9 / -3
=3
So the rate of change is 3.
We can also find the rate of change for algebraic equations also.
Decimal to fraction calculator coverts the decimal value into the fraction for example, 15.5 is the decimal value and 155/10 and 31/2 is the fraction value.
CBSE class 11 previous year question papers, if student will read these sample papers, they will increase their confidence level and in next session we will discuss about How to Solve Median Worksheets.