Real-World Slope Problems for 8th Graders

A car travels on a straight road that rises 3 feet for every 100 feet it travels horizontally. What is the slope of the road?

• 0.03 feet

• 0.3

• 3.0

• 0.03

A skateboard ramp rises 5 feet over a horizontal distance of 20 feet. What is the slope of the ramp?

• 1.0

• 0.25

• 0.1

• 0.5

A cyclist rides up a hill that has a vertical rise of 12 feet over a horizontal distance of 50 feet. Calculate the slope of the hill.

• 0.50

• 0.30

• 0.24

• 0.15

A graph shows the distance a runner covers over time. If the runner covers 200 meters in 25 seconds, what is the slope of the line representing their speed?

• 4 meters per second

• 10 meters per second

• 6 meters per second

• 8 meters per second

A building is designed with a roof that rises 8 feet over a horizontal distance of 24 feet. What is the slope of the roof?

• 1/3

• 2/3

• 1/4

• 3/8

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

• 5°F/hour

• 15°F/hour

• 2°F/hour

• 10°F/hour

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

• 750 feet per mile

• 500 feet per mile

• 1,000 feet per mile

• 300 feet per mile

A car's fuel efficiency is represented on a graph where the x-axis is the number of miles driven and the y-axis is the gallons of fuel used. If the car uses 10 gallons for 250 miles, what is the slope of the line?

• 0.04

• 0.08

• 0.1

• 0.02

A ramp is designed to rise 1 foot for every 5 feet of horizontal distance. What is the slope of the ramp?

• 0.1

• 0.2

• 0.5

• 1.0

A graph shows the relationship between the number of hours studied and test scores. If a student scores 90 after studying for 3 hours and 70 after studying for 1 hour, what is the slope of the line connecting these two points?

• 20

• 15

• 5

• 10