Constant Rate of Change (8th)

Front

What is the constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another quantity, represented as a ratio.

Front

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

Back

To calculate the constant rate of change from a table, divide the change in the dependent variable by the change in the independent variable.

Front

What does a constant rate of change indicate in a graph?

Back

A constant rate of change indicates a linear relationship between the variables, represented by a straight line.

Front

What is the formula for finding the slope of a line?

Back

The formula for finding the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the meaning of the y-axis in a graph?

Back

The y-axis is the vertical axis of a graph that represents the dependent variable.

Front

What is the meaning of the x-axis in a graph?

Back

The x-axis is the horizontal axis of a graph that represents the independent variable.

Front

If a car travels at a constant speed of 60 miles per hour, what is the constant rate of change?

Back

The constant rate of change is 60 miles per hour.

Front

What is an example of a constant rate of change in real life?

Back

An example is the speed of a train traveling at a constant rate of 50 miles per hour.

Front

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

Back

You can identify a constant rate of change from a graph by checking if the line is straight and has a consistent slope.

Front

What does a slope of 0 indicate in a graph?

Back

A slope of 0 indicates that there is no change in the dependent variable as the independent variable changes.