Calculating and Interpreting Slope in Everyday Scenarios

A car travels from point A to point B, which are 100 miles apart. If it takes 2 hours to travel this distance, what is the slope of the graph representing the car's speed? What does this slope mean in terms of speed?

• 25 miles per hour

• 75 miles per hour

• 100 miles per hour

• 50 miles per hour

A plant grows from 2 inches to 10 inches over a period of 4 weeks. Calculate the slope of the growth graph. What does this slope indicate about the plant's growth rate?

• 2 inches per week

• 1 inch per week

• 5 inches per week

• 3 inches per week

A cyclist rides 30 miles in 1.5 hours. What is the slope of the graph representing the cyclist's distance over time? Explain what this slope represents in the context of cycling.

• 15 miles per hour

• 20 miles per hour

• 25 miles per hour

• 30 miles per hour

A student scores 60% on their first test and 90% on their second test after 5 weeks of studying. What is the slope of the graph showing the student's score over time? What does this slope tell you about the student's improvement?

• 6% per week

• 5% per week

• 10% per week

• 15% per week

A factory produces 200 toys in 4 hours. If the production rate remains constant, what is the slope of the graph showing toys produced over time? Explain the meaning of this slope in terms of production efficiency.

• 50

• 100

• 75

• 25

A runner completes a 5K race in 25 minutes. If the runner maintains a steady pace, what is the slope of the graph showing distance over time? What does this slope indicate about the runner's speed?

• The slope is 15 km/h, indicating the runner's speed.

• The slope is 8 km/h, indicating the runner's speed.

• The slope is 12 km/h, indicating the runner's speed.

• The slope is 10 km/h, indicating the runner's speed.

A water tank is filled at a rate of 10 gallons per hour. If the tank starts empty, what is the slope of the graph representing the water level over time? What does this slope mean in terms of the filling process?

• The slope of the graph is 5 gallons per hour.

• The slope of the graph is 20 gallons per hour.

• The slope of the graph is 15 gallons per hour.

• The slope of the graph is 10 gallons per hour.

A student reads 15 pages in the first hour and 30 pages in the second hour. Calculate the slope of the graph showing pages read over time. What does this slope suggest about the student's reading speed?

• The slope of the graph is 15 pages per hour, indicating a slow reading speed.

• The slope of the graph is 30 pages per hour, suggesting the student reads quickly.

• The slope of the graph is 22 pages per hour, implying the student reads at an average speed.

• The slope of the graph is 22.5 pages per hour, suggesting the student's reading speed is 22.5 pages per hour.

A train travels 120 miles in 2 hours. What is the slope of the graph representing the train's distance over time? Explain the significance of this slope in terms of travel speed.

• 30 miles per hour

• 60 miles per hour

• 90 miles per hour

• 120 miles per hour

A baker makes 50 cookies in 2 hours. If the rate remains constant, what is the slope of the graph showing cookies made over time? What does this slope indicate about the baker's productivity?

• The slope is 25 cookies per hour, indicating the baker is unproductive.

• The slope is 10 cookies per hour, indicating the baker is very productive.

• The slope is 50 cookies per hour, indicating the baker is slow.

• The slope is 25 cookies per hour, indicating the baker's productivity.