7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount of change in a quantity over a specific period of time, often represented as a slope in a linear relationship.

Front

How do you identify the rate of change from a table?

Back

To identify the rate of change from a table, calculate the difference in the dependent variable divided by the difference in the independent variable for two points.

Front

What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the formula for calculating the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

The formula is (y2 - y1) / (x2 - x1).

Front

If a car travels 60 miles in 1 hour, what is the constant rate of change?

Back

The constant rate of change is 60 miles per hour.

Front

What is the significance of the slope in a linear equation?

Back

The slope represents the rate of change between the two variables in the equation.

Front

How can you represent a constant rate of change in an equation?

Back

A constant rate of change can be represented in the form y = mx + b, where m is the slope.

Front

What does it mean if the rate of change is zero?

Back

If the rate of change is zero, it means that there is no change in the dependent variable as the independent variable changes.

Front

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

Back

An example is a phone plan that charges a fixed amount per minute for calls.

Front

How do you determine if a relationship is linear?

Back

A relationship is linear if the rate of change between the variables is constant.