Calculating Slopes: Real-Life Decreases and Changes

A car travels down a hill from a height of 300 meters to a height of 150 meters over a horizontal distance of 600 meters. What is the slope of the hill?

• 0.5

• 0.1

• 0.75

• 0.25

A bike path descends from a park at an elevation of 200 feet to a riverbank at 50 feet over a distance of 400 feet. Calculate the slope of the bike path.

• 0.25

• 0.5

• 0.375

• 0.1

A company's profit decreased from $10,000 to $4,000 over a year. If the profit was decreasing steadily, what was the slope of the profit line?

• -4000

• -8000

• -2000

• -6000

A student’s grades dropped from 90% to 70% over the course of 4 tests. What is the slope of the line representing the student's grades?

• 5

• -10

• 0

• -5

A mountain trail starts at an elevation of 1,200 meters and ends at 800 meters after 2 kilometers. What is the slope of the trail?

• 0.1

• 0.3

• 0.2

• 0.5

A stock price fell from $50 to $30 over a period of 10 days. What is the average daily slope of the stock price?

• -1

• -5

• -2

• -3

A water tank's level decreases from 500 liters to 200 liters over 5 hours. What is the slope of the water level decrease?

• 60 liters per hour

• 100 liters per hour

• 40 liters per hour

• 80 liters per hour

A runner's speed decreases from 12 km/h to 8 km/h over a distance of 4 km. What is the slope of the speed graph?

• -2 km/h per km

• -0.5 km/h per km

• 0 km/h per km

• -1 km/h per km

A tree's height decreased from 15 feet to 10 feet over a period of 3 years. What is the slope of the height decrease?

• -2.5 feet per year

• 0.5 feet per year

• -3 feet per year

• -1.67 feet per year

A temperature dropped from 30°C to 10°C over a span of 4 hours. Calculate the slope of the temperature change.

• -2°C/hour

• 0°C/hour

• -5°C/hour

• -10°C/hour