Rate of Change: Real-World Challenges for 8th Graders

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

• 75 miles per hour

• 100 miles per hour

• 50 miles per hour

• 30 miles per hour

A plant grows 12 inches in 4 weeks. Calculate the rate of growth per week.

• 3 inches per week

• 2 inches per week

• 4 inches per week

• 6 inches per week

The temperature in a city rises from 60°F to 80°F over 4 hours. What is the rate of change in temperature per hour?

• 10°F per hour

• 2°F per hour

• 15°F per hour

• 5°F per hour

A cyclist covers 45 miles in 1.5 hours. What is the cyclist's average speed in miles per hour?

• 20 miles per hour

• 25 miles per hour

• 35 miles per hour

• 30 miles per hour

A water tank fills at a rate of 5 gallons per minute. How many gallons will it fill in 10 minutes?

• 30 gallons

• 100 gallons

• 50 gallons

• 70 gallons

A graph shows the distance a runner covers over time. If the runner is at 100 meters after 10 seconds and 200 meters after 20 seconds, what is the rate of change in meters per second?

• 15 meters per second

• 20 meters per second

• 5 meters per second

• 10 meters per second

A table shows the number of books read by a student over 5 months: January (2), February (4), March (6), April (8), May (10). What is the rate of change in books read per month?

• 2 books per month

• 5 books per month

• 3 books per month

• 1 book per month

A car's value decreases from $20,000 to $15,000 over 3 years. What is the rate of change in value per year?

• $2,000

• $1,250

• $1,500

• $1,666.67

A factory produces 200 units in the first hour and 300 units in the second hour. What is the rate of change in production per hour?

• 250 units per hour

• 200 units per hour

• 100 units per hour

• 150 units per hour

A student scores 75 on a test and then 90 on the next test. If the tests were taken a week apart, what is the rate of change in score per week?

• 15

• 10

• 20

• 25