Rate of Change - Final Exam Review

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a quantity divided by the time interval over which the change occurs.

Front

How do you calculate the average rate of change?

Back

Average Rate of Change = (Final Value - Initial Value) / (Final Time - Initial Time)

Front

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

Back

60 miles per hour.

Front

What does a negative average rate of change indicate?

Back

It indicates that the quantity is decreasing over the time interval.

Front

What is the average rate of change of a function between two points on a graph?

Back

It is the slope of the secant line connecting the two points.

Front

If the temperature changes from 20°C to 30°C over 5 hours, what is the average rate of change?

Back

2°C per hour.

Front

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

Back

It helps in understanding trends and making predictions based on data.

Front

How can you interpret the average rate of change in a graph?

Back

It represents the steepness of the line connecting two points on the graph.

Front

What is the average rate of change of fish caught from week 2 to week 5 if 40 fish were caught in week 2 and 100 fish in week 5?

Back

About 20 fish per week.

Front

If it rains 4 cm in 2 hours, what is the rate of rainfall?

Back

2 cm per hour.