# Constant Rate of Change - Examples, Exercises and Solutions

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:

## Examples with solutions for 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

constant

### Exercise #6

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

Uniform

### Exercise #7

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

Non-uniform

### Exercise #8

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

Non-uniform

### Exercise #9

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

Non-uniform

### Exercise #10

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

Uniform

### Exercise #11

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

Uniform

### Exercise #12

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

Uniform

### Exercise #13

Given a table showing points on the edge of the function, determine whether the rate of change is uniform or not.

Uniform

### Exercise #14

Given a table showing points on the graph of a function, determine whether or not the rate of change is uniform.

Non-uniform

### Exercise #15

Given a table showing points on the graph of a function, determine whether or not the rate of change is uniform.