Rate of Change: Proportional Reasoning in Real Life

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

• 50 miles per hour

• 30 miles per hour

• 75 miles per hour

• 100 miles per hour

If a plant grows 12 inches in 4 weeks, what is the rate of growth per week?

• 2 inches per week

• 4 inches per week

• 3 inches per week

• 6 inches per week

A cyclist covers 60 miles in 2 hours. How does this rate compare to a cyclist who covers 90 miles in 3 hours?

• The first cyclist covers 60 miles in 3 hours.

• The second cyclist travels slower at 25 miles per hour.

• Both cyclists travel at the same rate of 30 miles per hour.

• The first cyclist travels faster at 35 miles per hour.

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour do you need?

• 2 cups of flour

• 6 cups of flour

• 4 cups of flour

• 3 cups of flour

A train travels at a constant speed of 80 miles per hour. How far will it travel in 4.5 hours?

• 400 miles

• 320 miles

• 280 miles

• 360 miles

If a phone plan costs $30 for 2 GB of data, how much would it cost for 10 GB of data at the same rate?

• $75

• $200

• $150

• $100

A factory produces 500 toys in 5 hours. What is the rate of production per hour?

• 50 toys per hour

• 75 toys per hour

• 200 toys per hour

• 100 toys per hour

A runner completes a 5K race in 25 minutes. What is the runner's average speed in miles per hour?

• 8.2 mph

• 6.5 mph

• 7.44 mph

• 9.0 mph

If a car uses 1 gallon of gas to travel 25 miles, how many gallons will it need to travel 100 miles?

• 5 gallons

• 3 gallons

• 4 gallons

• 2 gallons

A water tank fills at a rate of 15 liters per minute. How much water will it hold after 10 minutes?

• 100 liters

• 75 liters

• 150 liters

• 200 liters