Calculate and Interpret Average Rates of Change

A car travels 150 miles in 3 hours. What is the average rate of change in miles per hour?

• 100 miles per hour

• 75 miles per hour

• 50 miles per hour

• 30 miles per hour

A plant grows from 2 inches to 10 inches in 4 weeks. Calculate the average rate of growth per week.

• 1 inch per week

• 2 inches per week

• 3 inches per week

• 4 inches per week

A runner completes a 10 km race in 50 minutes. What is the average speed in km/min?

• 0.5 km/min

• 0.1 km/min

• 1 km/min

• 0.2 km/min

The temperature in a city rises from 20°C to 30°C over 5 hours. What is the average rate of temperature change per hour?

• 2°C per hour

• 5°C per hour

• 3°C per hour

• 1°C per hour

A cyclist travels 60 miles in 2 hours and then 30 miles in 1 hour. What is the average speed for the entire trip?

• 40 miles per hour

• 30 miles per hour

• 25 miles per hour

• 35 miles per hour

A student scores 70 on a test and 90 on the next test. If the tests are taken a week apart, what is the average rate of improvement per week?

• 15 points per week

• 10 points per week

• 25 points per week

• 20 points per week

A factory produces 200 units in the first hour and 500 units in the second hour. What is the average rate of production increase per hour?

• 400 units per hour

• 600 units per hour

• 250 units per hour

• 300 units per hour

A swimmer covers 100 meters in 50 seconds and then 200 meters in 1 minute. What is the average rate of change in meters per second?

• 2.0 meters per second

• 2.727 meters per second

• 1.5 meters per second

• 3.0 meters per second

A tree grows from 5 feet to 15 feet over 10 years. What is the average rate of growth per year?

• 2 feet per year

• 3 feet per year

• 1 foot per year

• 0.5 feet per year

A book is read at a pace of 30 pages in 1 hour, then 60 pages in the next hour. What is the average rate of reading in pages per hour?

• 75 pages per hour

• 30 pages per hour

• 60 pages per hour

• 45 pages per hour