Exploring Slope as Rate of Change in Everyday Situations

A car travels at a constant speed of 60 miles per hour. If it starts from rest, what is the slope of the distance-time graph?

• 45 miles per hour

• 60 miles per hour

• 90 miles per hour

• 30 miles per hour

A bike rental shop charges a flat fee of $10 plus $5 per hour. What is the slope of the cost versus time graph?

• 10

• 2

• 15

• 5

A runner completes a 5K race in 25 minutes. What is the slope of the distance-time graph if the race distance is plotted on the y-axis?

• 0.5 km/min

• 0.4 km/min

• 0.2 km/min

• 0.1 km/min

A water tank is being filled at a rate of 3 gallons per minute. What is the slope of the graph representing the volume of water in the tank over time?

• 1

• 5 gallons per minute

• 0

• 3

A student scores 80 points on a test and improves by 5 points for each subsequent test. What is the slope of the graph showing the student's score over time?

• 3

• 10

• 5

• 7

A train travels 150 miles in 3 hours. What is the slope of the distance-time graph for the train's journey?

• 75 miles per hour

• 50 miles per hour

• 100 miles per hour

• 30 miles per hour

A gardener plants 10 flowers in the first week and adds 5 more each week. What is the slope of the graph showing the number of flowers planted over time?

• 7

• 5

• 10

• 3

A factory produces 200 units of a product in 4 hours. What is the slope of the production rate graph?

• 25 units per hour

• 75 units per hour

• 50 units per hour

• 100 units per hour

A phone plan costs $30 per month plus $0.10 per text message. What is the slope of the cost versus number of text messages graph?

• 0.30

• $30

• 0.10

• 0.05

A swimmer completes 100 meters in 50 seconds. What is the slope of the distance-time graph for the swimmer's performance?

• 4 meters/second

• 2 meters/second

• 3 meters/second

• 1 meter/second