Analyzing Slope: Real-Life Rates of Change for 8th Graders

A car travels 150 miles in 3 hours. What is the slope of the line representing the car's speed on a graph?

• 50 miles per hour

• 100 miles per hour

• 75 miles per hour

• 30 miles per hour

A bike rental shop charges a flat fee of $10 plus $2 per hour. What is the slope of the line representing the total cost as a function of hours rented?

• 1

• 10

• 2

• 5

A student scores 80 on a test and improves by 5 points for each subsequent test. If the first test score is plotted on a graph, what is the slope of the line representing the student's scores?

• 5

• 7

• 3

• 10

A factory produces 200 units in 4 hours. If the production rate remains constant, what is the slope of the line representing units produced over time?

• 100 units per hour

• 75 units per hour

• 50 units per hour

• 25 units per hour

A runner completes a 5K race in 25 minutes. If the distance is plotted against time, what is the slope of the line representing the runner's speed?

• 5.00 meters/second

• 3.33 meters/second

• 4.00 meters/second

• 2.50 meters/second

A gardener plants 10 trees in 2 hours. If the number of trees planted is graphed over time, what is the slope of the line?

• 2.5

• 10

• 15

• 5

A taxi charges a base fare of $3 plus $1.50 per mile. What is the slope of the line representing the total fare as a function of miles driven?

• 1.50

• $3.00

• $2.00 per mile

• $1.00 per mile

A student reads 30 pages in 1 hour. If the number of pages read is plotted against time, what is the slope of the line?

• 30 pages per hour

• 45 pages per hour

• 60 pages per hour

• 15 pages per hour

A water tank fills at a rate of 5 gallons per minute. If the amount of water in the tank is graphed over time, what is the slope of the line?

• 10

• 2

• 0

• 5

A train travels 300 miles in 5 hours. What is the slope of the line representing the train's speed on a graph?

• 50 miles per hour

• 100 miles per hour

• 75 miles per hour

• 60 miles per hour