Rate of Change: Real-Life Applications of Slope

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

• 30 miles per hour

• 100 miles per hour

• 50 miles per hour

• 75 miles per hour

A gardener plants 20 flowers in 4 rows. If each row has the same number of flowers, what is the slope of the line representing the number of flowers per row?

• -1

• 5

• 1

• 0

A cyclist rides 60 miles in 2 hours. If you graph the distance over time, what is the slope of the line?

• 75 miles per hour

• 45 miles per hour

• 30 miles per hour

• 15 miles per hour

A company produces 500 units of a product in 5 hours. What is the rate of change in production per hour?

• 250 units per hour

• 50 units per hour

• 100 units per hour

• 200 units per hour

A student scores 80 points on a test after studying for 2 hours. If you graph the score against study time, what is the slope of the line?

• 20 points per hour

• 40 points per hour

• 100 points per hour

• 60 points per hour

A train travels 240 miles in 4 hours. What does the slope of the graph represent in terms of speed?

• 30 miles per hour

• 80 miles per hour

• 100 miles per hour

• 60 miles per hour

A recipe requires 3 cups of flour for every 2 batches of cookies. What is the slope of the line if you graph cups of flour against batches?

• 2.0

• 3.5

• 1.5

• 1.0

A runner completes a 10K race in 50 minutes. If you graph the distance over time, what is the slope of the line?

• 1 km/min

• 0.2 km/min

• 0.5 km/min

• 0.1 km/min

A factory increases its production from 200 to 400 units over 4 hours. What is the slope of the production graph?

• 50 units per hour

• 100 units per hour

• 25 units per hour

• 75 units per hour

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

• 15

• 45

• 30

• 60