Slope in Real Life: Calculate and Interpret It!

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?

• 3/2

• 5/4

• 7/2

• 8/3

2. If the slope of a line representing the cost of gas is 0.25, what does this mean in the context of gas prices?

• The cost of gas increases by 0.25 for every 10 units increase in the independent variable.

• The cost of gas remains constant regardless of the independent variable.

• The cost of gas increases by 0.25 for each unit increase in the independent variable.

• The cost of gas decreases by 0.25 for each unit increase in the independent variable.

3. A bike rental company charges a flat fee of $10 plus $2 for every hour rented. What is the slope of the line representing the total cost in relation to hours rented?

• 2

• $10

• $3

• $5

4. A student scores 70 points on their first test and 90 points on their second test. If the tests are represented as points (1, 70) and (2, 90), what is the slope of the line connecting these points?

• 15

• 25

• 20

• 30

5. A gardener plants flowers in a straight line. If the first flower is planted at (1, 2) and the last at (4, 8), what is the slope of the line representing the height of the flowers over distance?

• 4

• 2

• 3

• 1

6. A train travels from station A to station B, covering a distance of 120 miles in 2 hours. What is the slope of the line representing the train's speed?

• 30 miles per hour

• 90 miles per hour

• 120 miles per hour

• 60 miles per hour

7. A student’s grades over four tests are represented by the points (1, 75), (2, 80), (3, 85), and (4, 90). What is the slope of the line that best fits these points?

• 10

• 4

• 6

• 5

8. A company’s profit increases from $2000 to $5000 over 3 years. What is the slope of the line representing profit over time?

• 2000

• 3000

• 1000

• 1500

9. A runner completes a 5K race in 25 minutes. If the distance is represented as (0, 0) to (5, 25), what is the slope of the line representing the runner's pace?

• 10

• 2.5

• 15

• 5

10. A phone plan charges $30 per month plus $0.10 per text message. What is the slope of the line representing the total cost based on the number of text messages sent?

• 0.10

• 0.30

• 0.05

• $30