Rate of Change: Real-Life Applications and Comparisons

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

• 30 miles per hour

• 75 miles per hour

• 50 miles per hour

• 100 miles per hour

A plant grows 12 inches in 4 weeks. What is the rate of growth per week?

• 6 inches per week

• 3 inches per week

• 2 inches per week

• 4 inches per week

A cyclist rides 60 miles in 2 hours. How does the rate of change compare to the car's speed?

• The cyclist's speed is 40 miles per hour, which is faster than a typical car's speed.

• The cyclist's speed is 25 miles per hour, which is significantly faster than a typical car's speed.

• The cyclist's speed is 30 miles per hour, which is slower than a typical car's speed.

• The cyclist rides at a speed of 20 miles per hour, which is equal to a typical car's speed.

A water tank fills at a rate of 5 gallons per minute. How much water is in the tank after 15 minutes?

• 75 gallons

• 60 gallons

• 45 gallons

• 90 gallons

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

• 40 points per hour

• 60 points per hour

• 50 points per hour

• 30 points per hour

A factory produces 200 toys in 5 hours. What is the rate of production per hour?

• 25 toys per hour

• 50 toys per hour

• 40 toys per hour

• 30 toys per hour

A runner completes a 10-kilometer race in 50 minutes. What is the runner's average speed in kilometers per hour?

• 8 km/h

• 15 km/h

• 10 km/h

• 12 km/h

A tree grows 30 centimeters in 6 months. What is the rate of growth per month?

• 10 centimeters per month

• 15 centimeters per month

• 5 centimeters per month

• 2.5 centimeters per month

A bus travels 240 miles in 4 hours. How does this rate of change compare to the cyclist's speed?

• The bus travels at 70 miles per hour.

• The bus travels at 50 miles per hour.

• The bus travels at 60 miles per hour.

• The bus travels at 80 miles per hour.

A recipe requires 2 cups of flour for every 3 batches of cookies. What is the rate of flour used per batch?

• 1 cup per batch

• 3/2 cups per batch

• 4 cups per batch

• 2/3 cups per batch