Identifying Trends: Average Rate of Change Challenges

A car travels 120 miles in 2 hours. What is the average rate of change in miles per hour? Is the car increasing or decreasing its speed?

• 90 miles per hour; the car is slowing down.

• 120 miles per hour; the car is accelerating.

• 30 miles per hour; the car is speeding up.

• 60 miles per hour; the car is maintaining a constant speed.

A plant grows from 10 cm to 30 cm in 4 weeks. What is the average rate of change in height per week? Is the plant's growth increasing or decreasing?

• 2 cm/week; the plant's growth is decreasing.

• 5 cm/week; the plant's growth is increasing.

• 10 cm/week; the plant's growth is constant.

• 7.5 cm/week; the plant's growth is decreasing.

A student scores 70 on a test and 90 on the next test. What is the average rate of change in the student's score? Is the student's performance increasing or decreasing?

• The average rate of change is 10, and the student's performance is decreasing.

• The average rate of change is 20, and the student's performance is increasing.

• The average rate of change is 30, and the student's performance is stable.

• The average rate of change is 15, and the student's performance is fluctuating.

A bike travels 15 miles in 1 hour and then 25 miles in the next hour. What is the average rate of change in speed over the two hours? Is the bike's speed increasing or decreasing?

• The average speed is 20 mph, and the bike's speed is increasing.

• The average speed is 25 mph, and the bike's speed is decreasing.

• The average speed is 15 mph, and the bike's speed is constant.

• The average speed is 30 mph, and the bike's speed is fluctuating.

A stock price increases from $50 to $75 over 5 days. What is the average rate of change in stock price per day? Is the stock price increasing or decreasing?

• The average rate of change is $15 per day, and the stock price is increasing.

• The average rate of change is $3 per day, and the stock price is stable.

• The average rate of change is $5 per day, and the stock price is increasing.

• The average rate of change is $10 per day, and the stock price is decreasing.

A runner completes a 5K race in 30 minutes and then in 25 minutes the next time. What is the average rate of change in time taken? Is the runner's performance improving or declining?

• The average rate of change in time taken is 0 minutes; the runner's performance is stable.

• The average rate of change in time taken is 5 minutes; the runner's performance is improving.

• The average rate of change in time taken is 3 minutes; the runner's performance is inconsistent.

• The average rate of change in time taken is 10 minutes; the runner's performance is declining.

A water tank fills from 200 liters to 500 liters in 10 minutes. What is the average rate of change in liters per minute? Is the water level increasing or decreasing?

• 30 liters per minute, increasing

• 20 liters per minute, decreasing

• 25 liters per minute, increasing

• 40 liters per minute, decreasing

A student reads 50 pages in the first week and 100 pages in the second week. What is the average rate of change in pages read per week? Is the student's reading rate increasing or decreasing?

• The average rate of change is 100 pages per week, and the student's reading rate is constant.

• The average rate of change is 25 pages per week, and the student's reading rate is decreasing.

• The average rate of change is 75 pages per week, and the student's reading rate is fluctuating.

• The average rate of change is 50 pages per week, and the student's reading rate is increasing.

A factory produces 200 units in the first hour and 300 units in the second hour. What is the average rate of change in production per hour? Is the factory's output increasing or decreasing?

• The average rate of change in production is 50 units per hour, and the factory's output is increasing.

• The average rate of change in production is 150 units per hour, and the factory's output is decreasing.

• The average rate of change in production is 100 units per hour, and the factory's output is increasing.

• The average rate of change in production is 200 units per hour, and the factory's output is constant.

A temperature rises from 15°C to 25°C over 4 hours. What is the average rate of change in temperature per hour? Is the temperature increasing or decreasing?

• The average rate of change in temperature is 1°C per hour, and the temperature is decreasing.

• The average rate of change in temperature is 5°C per hour, and the temperature is constant.

• The average rate of change in temperature is 2°C per hour, and the temperature is decreasing.

• The average rate of change in temperature is 2.5°C per hour, and the temperature is increasing.