Rate of Change Challenges: Slope and Speed Calculations

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

• 100 miles per hour

• 50 miles per hour

• 30 miles per hour

• 75 miles per hour

A plant grows from 2 inches to 10 inches in 4 weeks. What is the rate of change in height per week?

• 4 inches per week

• 2 inches per week

• 3 inches per week

• 1 inch per week

A cyclist rides 60 miles in 2 hours. Calculate the slope of the distance-time graph for this trip.

• 30 miles per hour

• 20 miles per hour

• 40 miles per hour

• 50 miles per hour

A water tank is filled with 500 liters in 5 hours. What is the rate of change in liters per hour?

• 200 liters per hour

• 75 liters per hour

• 50 liters per hour

• 100 liters per hour

A runner completes a 5K race in 25 minutes. What is the rate of change in kilometers per minute?

• 0.1 km/min

• 0.2 km/min

• 0.4 km/min

• 0.5 km/min

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

• 3 feet per year

• 1 foot per year

• 0.5 feet per year

• 2 feet per year

A train travels from Station A to Station B, covering 120 miles in 2 hours. What is the slope of the distance-time graph?

• 120 miles per hour

• 60 miles per hour

• 90 miles per hour

• 30 miles per hour

A factory produces 200 toys in 4 hours. What is the rate of change in toys produced per hour?

• 50 toys per hour

• 25 toys per hour

• 100 toys per hour

• 75 toys per hour

A student scores 80 points on a test after studying for 2 hours. What is the rate of change in points per hour of study?

• 40 points per hour

• 100 points per hour

• 20 points per hour

• 60 points per hour

A water fountain fills a pool with 300 gallons in 6 hours. What is the rate of change in gallons per hour?

• 75 gallons per hour

• 25 gallons per hour

• 100 gallons per hour

• 50 gallons per hour