Real-World Slope Interpretations: 8th Grade Challenges

1. A car travels from point A (2, 3) to point B (6, 7). What is the slope of the line representing the car's path? Interpret the meaning of the slope in this context.

• 2

• -1

• 0.5

• 1

2. A bike rental company charges a flat fee of $10 plus $2 for every hour rented. If the cost is represented by two points (0, 10) and (5, 20), what is the slope of the line? What does this slope represent?

• 2

• 1

• 5

• 3

3. A student scores 70 points on their first test and 90 points on their second test. If these scores are represented by the points (1, 70) and (2, 90), find the slope. What does the slope indicate about the student's performance?

• 10

• 30

• 20

• 50

4. A gardener plants flowers in a straight line. If the number of flowers planted at 1 hour is 5 and at 4 hours is 20, what is the slope of the line? Explain what this slope means in terms of flowers planted per hour.

• 25

• 10

• 5

• 15

5. A store sells 3 shirts for $45 and 5 shirts for $75. If these points are (3, 45) and (5, 75), calculate the slope. What does this slope tell you about the price per shirt?

• The slope is 15, indicating the price per shirt increases by $15.

• The slope is 5, indicating the price per shirt increases by $5.

• The slope is 20, indicating the price per shirt remains constant.

• The slope is 10, indicating the price per shirt decreases by $10.

6. A runner completes a 5 km race in 25 minutes and a 10 km race in 50 minutes. Represent these points as (5, 25) and (10, 50). What is the slope, and what does it signify about the runner's speed?

• 4 minutes per kilometer

• 6 minutes per kilometer

• 10 minutes per kilometer

• 5 minutes per kilometer

7. A phone plan costs $30 for 1 GB of data and $50 for 5 GB. If these points are (1, 30) and (5, 50), find the slope. What does this slope represent in terms of cost per GB?

• 5

• 20

• 10

• 15

8. A factory produces 100 toys in 2 hours and 300 toys in 6 hours. Represent these points as (2, 100) and (6, 300). Calculate the slope and interpret its meaning regarding production rate.

• The slope is 75, indicating a production rate of 75 toys per hour.

• The slope is 50, indicating a production rate of 50 toys per hour.

• The slope is 25, indicating a production rate of 25 toys per hour.

• The slope is 100, indicating a production rate of 100 toys per hour.

9. A train travels from station A (0, 0) to station B (10, 100). What is the slope of the line representing the train's journey? What does this slope indicate about the train's speed?

• The slope of the line is 0.1.

• The slope of the line is 10.

• The slope of the line is 5.

• The slope of the line is 20.

10. A student reads 20 pages in the first hour and 50 pages in the third hour. If these points are (1, 20) and (3, 50), find the slope. What does this slope tell you about the student's reading speed?

• 15

• 30

• 10

• 25