Variable Rate of Change
The meaning of a variable rate of change of a function can be seen when the variables change in fixed proportions and the change unevenly.
A variable rate of change is represented by a line that is not straight, as seen in the following diagram:
Given a table showing points on the graph of a function, determine whether or not the rate of change is uniform.
Look at the graph below and determine whether the function's rate of change is constant or not:
First we need to remember that if the function is not a straight line, its rate of change is not constant.
The rate of change is not uniform since the function is not a straight line.
Answer:
Not constant
Given the following graph, determine whether the rate of change is uniform or not?
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.
Answer:
Non-uniform
Given the following graph, determine whether the rate of change is uniform or not
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.
Answer:
Non-uniform
Given the following graph, determine whether the rate of change is uniform or not?
Remember that if the function is a straight line, its rate of change will be constant.
Due to the fact that the graph is a straight line - the rate of change is constant.
Answer:
Uniform
Given the following graph, determine whether the rate of change is uniform or not
The problem asks us to determine if the rate of change in the graph is uniform or not. To do this, we need to examine the graph closely to see whether it is linear.
If a graph is linear, it means it is a straight line, indicating a constant (uniform) rate of change. The slope of a straight line does not change, meaning that for every unit increase in there is a proportional and consistent change in .
In contrast, if a graph curves or the line is not straight, the rate of change would not be uniform. This is because a curve indicates that the amount changes for each unit change in is not constant.
By analyzing the given graph, we can see that it is a non-linear function with a visible curve. Since the line is not straight (it appears as a curved line in the graph), the rate of change of the function is not constant across its range.
Therefore, the solution to the problem is that the rate of change is non-uniform.
Consequently, the correct choice, corresponding to a non-uniform rate of change in the graph, is:
Non-uniform
Answer:
Non-uniform