Real-Life Slope Challenges: Solve and Analyze!

A car travels up a hill that rises 300 feet over a horizontal distance of 1,200 feet. What is the slope of the hill?

• 0.25

• 0.15

• 0.75

• 0.5

A bike path has a slope of 1/4. If the path rises 4 feet, how far does it travel horizontally?

• 12 feet

• 16 feet

• 20 feet

• 8 feet

A building is 50 feet tall and is located 200 feet from the base of a hill. What is the slope of the line connecting the top of the building to the top of the hill if the hill is 100 feet tall?

• 0.5

• 0.25

• 0.75

• 1.0

A runner jogs up a slope that rises 5 feet for every 20 feet of distance. What is the slope of the runner's path?

• 1/4

• 3/4

• 1/5

• 1/2

A graph shows the distance a train travels over time. If the train travels 150 miles in 3 hours, what is the slope of the line on the graph?

• 100 miles per hour

• 50 miles per hour

• 30 miles per hour

• 75 miles per hour

A ramp is designed to rise 2 feet over a horizontal distance of 10 feet. What is the slope of the ramp?

• 0.5

• 0.1

• 0.2

• 1.0

A skateboarder goes down a ramp that is 6 feet high and 18 feet long. What is the slope of the ramp?

• 2/3

• 1/3

• 1/2

• 3/4

A mountain trail rises 1,500 feet over a distance of 3 miles. What is the slope of the trail in feet per mile?

• 500 feet per mile

• 750 feet per mile

• 300 feet per mile

• 1,000 feet per mile

A line graph shows the temperature change throughout the day. If the temperature rises from 60°F to 80°F over 4 hours, what is the slope of the temperature change?

• 15°F per hour

• 2°F per hour

• 5°F per hour

• 10°F per hour

A ladder leans against a wall, reaching a height of 12 feet while the base of the ladder is 5 feet away from the wall. What is the slope of the ladder against the wall?

• 2.4

• 4.8

• 3.0

• 1.5