Real-World Average Rates of Change: Problem Solving

A car travels 120 miles in 2 hours. What is the average rate of change in miles per hour?

• 75 miles per hour

• 90 miles per hour

• 60 miles per hour

• 30 miles per hour

A plant grows from 10 cm to 30 cm over 4 weeks. What is the average rate of change in height per week?

• 15 cm/week

• 2 cm/week

• 10 cm/week

• 5 cm/week

A cyclist rides 15 miles in 30 minutes. If he continues at the same rate, how far will he travel in 2 hours?

• 45 miles

• 75 miles

• 30 miles

• 60 miles

The temperature in a city rises from 60°F to 80°F over 3 hours. What is the average rate of change in temperature per hour?

• 5°F per hour

• 10°F per hour

• 15°F per hour

• 6.67°F per hour

A student scores 70 on a test and then 90 on the next test after 2 weeks. What is the average rate of change in score per week?

• 20

• 10

• 15

• 5

A water tank fills from 200 liters to 500 liters in 5 hours. What is the average rate of change in liters per hour?

• 60 liters per hour

• 75 liters per hour

• 30 liters per hour

• 50 liters per hour

A runner completes a 5K race in 25 minutes. If he maintains this pace, how long will it take him to run 10K?

• 50 minutes

• 40 minutes

• 30 minutes

• 1 hour

The population of a town increases from 5,000 to 7,500 over 5 years. What is the average rate of change in population per year?

• 400

• 500

• 300

• 600

A phone battery goes from 80% to 20% in 4 hours. What is the average rate of change in battery percentage per hour?

• 5% per hour

• 20% per hour

• 10% per hour

• 15% per hour

A factory produces 1,000 units in the first month and 1,500 units in the third month. What is the average rate of change in production per month?

• 250 units per month

• 400 units per month

• 200 units per month

• 300 units per month