Rate of Change in Real-World Situations: Analyzing Slope

A car travels 150 miles in 3 hours. What is the slope of the distance-time graph?

• 100 miles per hour

• 30 miles per hour

• 75 miles per hour

• 50 miles per hour

A bike rental shop charges a flat fee of $10 plus $2 per hour. Write the equation for the total cost and find the slope.

• C = 10 + h; slope is 1

• C = 5 + 2h; slope is 5

• C = 10 + 3h; slope is 3

• The equation is C = 10 + 2h; the slope is 2.

A gardener plants 20 trees in 4 hours. What is the rate of change of trees planted per hour?

• 15 trees per hour

• 10 trees per hour

• 5 trees per hour

• 2 trees per hour

A student scores 80 points on a test after studying for 2 hours. If the score increases to 90 points after 3 hours, what is the slope of the score-time graph?

• 5

• 10

• 20

• 15

A factory produces 500 units in 5 hours. If production increases to 800 units in 8 hours, what is the slope of the production-time graph?

• 80 units per hour

• 100 units per hour

• 150 units per hour

• 120 units per hour

A runner completes a 10 km race in 50 minutes. What is the slope of the distance-time graph in km/min?

• 0.5 km/min

• 0.1 km/min

• 0.2 km/min

• 1 km/min

A phone plan costs $30 per month plus $0.10 per minute. Write the equation for the total cost and find the slope.

• Slope: 0.05

• Slope: 0.10

• Slope: 0.30

• Slope: 1.00

A train travels 240 miles in 4 hours. What is the slope of the distance-time graph?

• 60 miles per hour

• 80 miles per hour

• 70 miles per hour

• 50 miles per hour

A restaurant serves 120 meals in 3 hours. If they serve 180 meals in 5 hours, what is the slope of the meals-time graph?

• 24

• 30

• 36

• 45

A student reads 60 pages in 2 hours. If they read 90 pages in 3 hours, what is the slope of the pages-time graph?

• 30 pages per hour

• 15 pages per hour

• 20 pages per hour

• 45 pages per hour