Real-Life Slope Scenarios: Analyzing Graphs and Trends

A car travels at a constant speed of 60 miles per hour. If the graph of the car's distance over time is a straight line, what does the slope represent?

• The slope represents the car's acceleration.

• The slope represents the car's speed, which is 60 miles per hour.

• The slope represents the time taken to travel a distance.

• The slope represents the car's fuel efficiency.

A mountain trail rises 300 feet over a horizontal distance of 1,500 feet. What is the slope of the trail, and what does it indicate about the steepness?

• The slope of the trail is 0.2.

• The slope of the trail is 0.1.

• The slope of the trail is 1.0.

• The slope of the trail is 0.5.

A company’s revenue increases from $10,000 to $15,000 over 5 months. If you were to graph this change, what would the slope of the line represent?

• The slope represents the total revenue after 5 months.

• The slope represents the rate of revenue increase per month, which is $1,000.

• The slope shows the average revenue of the company.

• The slope indicates the total profit made during the period.

A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. If you graph the total cost against hours rented, what does the slope of the line represent?

• The slope represents the total cost of renting the bike.

• The slope represents the flat fee charged by the shop.

• The slope represents the number of bikes available for rent.

• The slope represents the cost per hour of renting the bike, which is $2.

A student scores 80 on their first test and 90 on their second test after 4 weeks. What is the slope of the line representing their scores over time, and what does it mean?

• 4.0

• 2.5

• 1.5

• 3.0

A farmer plants 200 trees in 4 acres of land. If you graph the number of trees per acre, what is the slope, and what does it tell you about tree density?

• The slope is 75, indicating a tree density of 75 trees per acre.

• The slope is 50, indicating a tree density of 50 trees per acre.

• The slope is 100, indicating a tree density of 100 trees per acre.

• The slope is 25, indicating a tree density of 25 trees per acre.

A train travels 120 miles in 2 hours. If you plot the distance against time, what does the slope of the line indicate about the train's speed?

• The slope indicates the train's speed of 90 miles per hour.

• The slope indicates the train's speed of 60 miles per hour.

• The slope indicates the train's speed of 30 miles per hour.

• The slope indicates the train's speed of 120 miles per hour.

A city’s population grows from 50,000 to 60,000 over 10 years. What is the slope of the population growth line, and what does it signify?

• 1,000

• 1,500

• 2,000

• 500

A recipe requires 3 cups of flour for every 2 cups of sugar. If you graph the relationship between flour and sugar, what does the slope represent?

• The slope represents the ratio of flour to sugar, specifically 3/2.

• The slope shows the difference in volume between flour and sugar.

• The slope indicates the amount of sugar needed for each cup of flour.

• The slope represents the total amount of flour and sugar combined.

A student saves $50 in the first month and $70 in the second month. If you graph their savings over time, what does the slope of the line indicate about their saving habits?

• The slope represents a decrease in the student's overall savings.

• The slope shows that the student is saving less over time.

• The slope indicates that the student's saving habits are improving.

• The slope indicates that the student's savings are stagnant.