Average Rate of Change

Front

What is the average rate of change?

Back

The average rate of change is a measure of how much a quantity changes, on average, over a specific interval. It is calculated as the change in the value of the function divided by the change in the input value.

Front

How do you calculate the average rate of change?

Back

To calculate the average rate of change between two points (x1, y1) and (x2, y2), use the formula: (y2 - y1) / (x2 - x1).

Front

What is the average rate of change in population from 1900 to 1990 if it increased by 175 million?

Back

1.94 million people/year.

Front

If a climber's altitude changes from 400 feet to 700 feet over 4 hours, what is the average rate of change?

Back

75 feet/hour.

Front

What does a positive average rate of change indicate?

Back

A positive average rate of change indicates that the quantity is increasing over the interval.

Front

What does a negative average rate of change indicate?

Back

A negative average rate of change indicates that the quantity is decreasing over the interval.

Front

In the context of speed, what does average rate of change represent?

Back

In the context of speed, the average rate of change represents the average speed over a given time interval.

Front

What is the average speed if a family travels 100 miles in 2 hours?

Back

50 miles/hour.

Front

During which interval was the average speed the greatest if a graph shows distance traveled over time?

Back

The interval with the steepest slope on the graph indicates the greatest average speed.

Front

If the average rate of change is 7/3, what does this represent?

Back

This represents the average change in the dependent variable for every unit change in the independent variable.