Rate of Change: Real-World Applications and Graphs

A car travels 150 miles in 3 hours. What is the rate of change of distance with respect to time?

• 75 miles per hour

• 30 miles per hour

• 50 miles per hour

• 100 miles per hour

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

• 2 inches per week

• 6 inches per week

• 4 inches per week

• 3 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?

• 15°F per hour

• 5°F per hour

• 10°F per hour

• 2°F per hour

A cyclist rides 30 miles in 2 hours. If the graph of distance over time is linear, what is the slope of the graph?

• 15 miles per hour

• 25 miles per hour

• 10 miles per hour

• 20 miles per hour

A water tank fills at a rate of 5 gallons per minute. How much water is in the tank after 10 minutes?

• 50 gallons

• 100 gallons

• 30 gallons

• 70 gallons

A runner completes a 5K race in 25 minutes. What is the average speed in miles per hour? (1 mile = 1.60934 km)

• 6.5 mph

• 7.44 mph

• 8.2 mph

• 9.0 mph

A store's sales increase from $2000 to $3000 over a month. What is the rate of change in sales per week?

• $200

• $250

• $150

• $300

A train travels 120 miles in 2 hours. If the graph of distance versus time is plotted, what does the slope represent?

• The slope represents the acceleration of the train.

• The slope represents the total distance traveled.

• The slope represents the time taken for the journey.

• The slope represents the speed of the train.

A population of a town increases from 10,000 to 12,500 in 5 years. What is the annual rate of change in population?

• 5%

• 3%

• 10%

• 7%

A smartphone's battery drains from 100% to 20% in 4 hours. What is the rate of battery consumption per hour?

• 15% per hour

• 20% per hour

• 25% per hour

• 10% per hour