Finding and Interpreting Slope in Real-Life Scenarios

1. A car travels from point A (2, 3) to point B (5, 11). What is the slope of the line connecting these two points?

• 8/3

• 3/8

• 2

• 5/3

2. If the slope of a line is 4 and it passes through the point (1, 2), what is the y-coordinate of the point when x = 3?

• 12

• 6

• 10

• 8

3. A bike path rises 6 feet over a horizontal distance of 12 feet. What is the slope of the bike path?

• 1/2

• 2/3

• 3/4

• 1/3

4. A student scores 70 points on their first test and 90 points on their second test. If the tests are taken 2 weeks apart, what is the slope of the line representing their score over time?

• 15

• 20

• 10

• 5

5. A mountain trail rises 300 feet over a distance of 1,500 feet. What does the slope tell you about the steepness of the trail?

• The slope of 0.3 indicates a gentle decline.

• The slope of 0.1 indicates a flat trail.

• The slope of 0.5 indicates a very steep trail.

• The slope of 0.2 indicates a moderate steepness of the trail.

6. A gardener plants flowers in a straight line from point (0, 0) to point (4, 8). Calculate the slope of the line and interpret what it means in the context of planting flowers.

• The slope of the line is 2.

• The slope of the line is 1.

• The slope of the line is 0.

• The slope of the line is 4.

7. A train travels from station A (1, 2) to station B (4, 8). What is the slope of the train's path, and what does this slope indicate about the train's speed?

• The slope of the train's path is 3.

• The slope of the train's path is 1.

• The slope of the train's path is 0.5.

• The slope of the train's path is 2.

8. A building is 20 feet tall and is 40 feet away from the base of a hill. What is the slope of the line from the top of the building to the base of the hill?

• 1/4

• 3/2

• 1/2

• 2/3

9. A runner completes a 5K race, starting at point (0, 0) and finishing at point (3, 15). What is the slope of the runner's path, and what does it represent?

• 10

• 5

• 3

• 7

10. A skateboard ramp rises 5 feet over a distance of 10 feet. Calculate the slope and explain how this affects the difficulty of using the ramp.

• The slope of the ramp is 0.5.

• The slope of the ramp is 2.0.

• The slope of the ramp is 0.25.

• The slope of the ramp is 1.0.