Calculating and Interpreting Slope in Real Life

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

• 2/1

• 5/3

• 3/2

2. If the slope of a line is 4, what does this mean in the context of a bike ramp that rises 4 feet for every 1 foot it runs horizontally?

• The ramp rises 4 feet for every 4 feet it runs horizontally, indicating a flat slope.

• The ramp rises 1 foot for every 4 feet it runs horizontally, indicating a gentle slope.

• The ramp descends 4 feet for every 1 foot it runs horizontally, indicating a decline.

• The ramp rises 4 feet for every 1 foot it runs horizontally, indicating a steep slope.

3. A gardener plants flowers in a straight line from point (1, 2) to point (4, 8). Calculate the slope of the line formed by the flowers.

• 2

• 1

• 3

• 4

4. A train travels from station X (0, 0) to station Y (6, 12). What is the slope of the train's path, and what does it represent?

• 3

• 1

• 4

• 2

5. A mountain trail rises 300 feet over a horizontal distance of 600 feet. What is the slope of the trail, and how can it be interpreted?

• 0.75

• 0.25

• 0.5

• 1.0

6. A skateboard ramp has a slope of 3. If a skater goes up the ramp 3 feet for every 2 feet they move forward, what is the slope in fraction form?

• 4/3

• 2/3

• 1/2

• 3/2

7. A line passes through the points (3, 5) and (7, 9). Calculate the slope and explain what this slope indicates about the line's steepness.

• The slope of the line is 0.

• The slope of the line is 2.

• The slope of the line is 1.

• The slope of the line is -1.

8. A cyclist rides from point (2, 4) to point (8, 10). What is the slope of the cyclist's path, and what does it tell you about their speed?

• The slope of the cyclist's path is 1.

• The slope of the cyclist's path is -1.

• The slope of the cyclist's path is 2.

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

9. A straight road rises 2 feet for every 10 feet it runs horizontally. What is the slope of the road, and how does it affect driving conditions?

• The slope of the road is 1.0.

• The slope of the road is 0.5.

• The slope of the road is 0.1.

• The slope of the road is 0.2.

10. A graph shows the relationship between hours studied and test scores. If the slope of the line is 5, what does this indicate about the relationship?

• The slope of 5 indicates a positive relationship where more hours studied leads to higher test scores.

• The slope of 5 indicates no relationship between hours studied and test scores.

• The slope of 5 suggests a negative relationship where test scores decrease with more hours studied.

• The slope of 5 means that more hours studied results in lower test scores.