Real-Life Slope Challenges: Solve and Compare Slopes

A car travels 150 miles in 3 hours. What is the slope of the car's distance over time?

• 75 miles per hour

• 100 miles per hour

• 30 miles per hour

• 50 miles per hour

A bike path rises 12 feet over a distance of 100 feet. What is the slope of the bike path?

• 0.25

• 0.15

• 0.12

• 0.08

Two friends are hiking. One friend climbs 30 feet in 5 minutes, while the other climbs 45 feet in 10 minutes. Who has a steeper slope?

• Both friends have the same slope.

• The second friend has a steeper slope.

• Neither friend has a slope.

• The first friend has a steeper slope.

A building is 60 feet tall and is 80 feet away from the base. What is the slope of the line from the ground to the top of the building?

• 0.75

• 1.2

• 0.5

• 0.3

A train travels 240 miles in 4 hours. What is the slope of the train's distance over time?

• 60 miles per hour

• 70 miles per hour

• 80 miles per hour

• 50 miles per hour

A ramp rises 15 feet over a horizontal distance of 60 feet. What is the slope of the ramp?

• 1.0

• 0.25

• 0.5

• 0.15

A gardener plants a tree that grows 2 feet in height for every 5 feet it spreads out. What is the slope of the tree's growth?

• 0.4

• 0.2

• 1.5

• 0.8

Two lines are represented by the equations y = 2x + 1 and y = 3x - 4. Compare their slopes. Which line is steeper?

• The line represented by y = 2x + 1 is steeper.

• The line represented by y = 2x + 1 is vertical.

• Both lines have the same steepness.

• The line represented by y = 3x - 4 is steeper.

A skateboarder goes up a ramp that rises 5 feet over a distance of 20 feet. What is the slope of the ramp?

• 0.1

• 0.5

• 1.0

• 0.25

A road rises 100 feet over a distance of 500 feet. What is the slope of the road?

• 1.0

• 0.1

• 0.2

• 0.5