Week 4 - Average Rate of Change

Front

What is the average rate of change?

Back

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

Front

How do you calculate the average rate of change between two points?

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 the population 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 per hour.

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

What is the average rate of change from 20 to 40 minutes if the consumption is -2 gallons per minute?

Back

-2 gallons per minute.

Front

Which interval has the largest average rate of change: 13 to 14, 13 to 17, 16 to 17, or 16 to 19?

Back

16 to 17.

Front

What is the average rate of change from x=0 to x=1 if the function value changes by 3?

Back

3.

Front

What is the significance of the average rate of change in real-world applications?

Back

It helps to understand trends and make predictions based on historical data.

Front

How can the average rate of change be represented graphically?

Back

It can be represented as the slope of the secant line connecting two points on a graph.