Lesson 1 Homework Practice Constant Rate Of Change Answers

In this lesson students learn how to calculate a constant rate of change in a graph. Constant rates of change can be found in linear relationships and the lesson explains how to find them.

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What is the difference between a linear relationship and a constant rate of change?

A linear relationship is a type of relationship between two or more variables where one variable increases or decreases at a steady rate when the other variable increases or decreases. A constant rate of change is the amount by which one variable changes when the other variable changes by one unit.

How do you calculate a constant rate of change?

To calculate the constant rate of change you need to take two points on a line and divide their differences in value by their difference in time. This will give you the amount that each variable changed per unit time (the constant rate).

What are some examples of graphs with constant rates of change?

Some examples include straight line graphs, graphs representing exponential growth, and graphs representing proportional relationships.

Can constants rates of change vary over time?

Yes, constants rates of changes can vary over time as long as they remain consistent within those individual points. For example, if a graph shows a decrease in value from point A to point B but then an increase from point B to C, it is still considered to be having an overall constant rate of change so long as each individual segment has its own consistent slope.

Conclusion:
In conclusion, learning how to calculate and identify constants rates of change is important for understanding many types real-world applications. By knowing how to calculate constants rates of changes effectively students will be able to gain insights into various data sets they may come across both inside and outside the classroom.