# Constant Rate of Change

🏆Practice variation of a function

Constant Rate of Change

The meaning of the constant rate of change of a function can be seen when the variables $X$ change in fixed proportions and the $Y$ do as well.

For example, if the constant interval of the $X$ is $2$ and also that of the $Y$ is stable and does not vary from time to time.
The interval of the $Y$ variables does not necessarily have to be equal to that of the $X$ for it to be considered a case of constant rate of change.
If the function is represented with a straight graph, it means that the rate of change is constant.
The rate of change is the slope of the function.

A constant rate of change is represented by a straight line, as seen in the following scheme:

## Test yourself on variation of a function!

Given the following graph, determine whether function is constant

## How can one identify the constant rate of change?

Let's see, the rate of change is constant if the following is true:

that when the variable $X$ increases from $4$ to $5$
and the $Y$ increases by $8$

then, when the variable $X$ grows from $102$ to $103$
also the $Y$ increases by $8$

### Graph of the constant rate of change

Constant rate of change of a function

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### Table of Constant Rate of Change

Representation of the function in table

### Step graph of the constant rate of change

If you are interested in this article, you might also be interested in the following articles:

Rate of change of a function

Rate of change of a function represented graphically

Rate of change of a function represented by a table of values

Variable rate of change

Rate of change represented with steps in the function's graph

In the blog of Tutorela you will find a variety of articles with interesting explanations about mathematics

## Examples and exercises with solutions of constant rate of change

### Exercise #1

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #2

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #3

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Let's remember that if the function is not a straight line, its rate of change is not uniform.

Since the graph is not a straight line - the rate of change is not uniform.

Non-uniform

### Exercise #4

Given the following graph, determine whether the rate of change is uniform or not

### Step-by-Step Solution

Remember that if the function is a straight line, its rate of change will be constant.

Since the graph is a straight line - the rate of change is constant.

Uniform

### Exercise #5

Given the following graph, determine whether function is constant