# Constant rate of change definition

We know that objects or particles can move on different types of trajectories. Those which are moving along a straight line have the mathematical property of moving at **constant rate of change**. The **constant rate of change definition** is very simple and logical: "An object moving uniformly with respect to time, is said is moving at a constant rate of change."

## Have a look at constant rate of change example

Let's take a practical **constant rate of change example** to easily understand the phenomenon. In the following table, you can observe that the Distance increases proportionally with Time. That means that between any two points the rate of change is the same (constant).

## Understanding the average rate of change

Mathematically speaking, the "rate of change" is the slope of the line that joins two specific points. This term is also known as the average rate of change. It is very simple to find the **average rate of change** using simple formulas.

## Studying average rate of change formula

We know that a function represents a relationship between x and y: y = f(x) where y is a dependent quantity and x an independent one. It is very easy to find the** average rate of change of a function** using a specific formula for this task.

In basic terms, the **average rate of change calculus** could be done using the following general terms:

Average Rate of Change = (change in y value)/(change in x value). In more advanced terms, the **average rate of change formula** could be written as δy/δx = (f(b)-f(a))/(b-a) .

In the upper formula for rate of change, (b - a) represents the change in the input of the function, f(b)-f(a) represents the change in the function f as the input change from a to b. δy/δx is the **average rate of change** function.

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