Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent ratio that describes how one quantity changes in relation to another. It is often represented as a slope in a linear relationship.

Front

How can you identify a constant rate of change from a table?

Back

You can identify a constant rate of change from a table by checking if the differences between the values in one column are consistent as you move down the rows.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change, meaning the ratio of the two quantities remains the same.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

If a recipe calls for 3/4 cup of sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

4 eggs/1 cup.

Front

What does the point (3, 27) represent in a graph?

Back

The point (3, 27) represents $27 for 3 shirts.

Front

How do you calculate the constant rate of change from a graph?

Back

To calculate the constant rate of change from a graph, find the slope by taking the difference in the y-values and dividing it by the difference in the x-values between two points.

Front

What is the formula for finding the slope (constant rate of change)?

Back

The formula for finding the slope is: slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if a rate of change is not constant?

Back

If a rate of change is not constant, it means that the relationship between the two quantities varies, and the graph may not be a straight line.

Front

What is an example of a situation with a constant rate of change?

Back

An example of a situation with a constant rate of change is a car traveling at a steady speed of 60 miles per hour.