Finding and Interpreting Slope in Real-World Scenarios

1. A car travels from point A (2, 3) to point B (6, 7). What is the slope of the line connecting these two points?

• 2

• 3

• 0.5

• 1

2. If the slope of a line is 2 and it passes through the point (1, 4), what is the equation of the line in slope-intercept form?

• y = 2x - 2

• y = x + 2

• y = 2x + 4

• y = 2x + 2

3. A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. What is the slope of the cost function in relation to the number of hours rented?

• 10

• 5

• 2

• 3

4. A student scores 70 points on their first test and 90 points on their second test, which was taken after 3 weeks. Calculate the slope of the student's score over time.

• 5.00

• 8.00

• 10.00

• 6.67

5. A gardener plants flowers in a straight line. If the first flower is planted at (0, 1) and the second at (4, 5), what is the slope of the line representing the flower bed?

• 1

• 0.5

• -1

• 2

6. A train travels from station X (1, 2) to station Y (5, 10). What does the slope of the line represent in the context of the train's journey?

• The slope indicates the speed of the train.

• The slope represents the rate of elevation change per unit distance.

• The slope represents the total travel time of the train.

• The slope shows the distance covered over time.

7. A company’s profit increases from $2000 to $5000 over 4 years. What is the slope of the profit function, and what does it indicate about the company’s growth?

• 2500

• 750

• 1000

• 500

8. A runner completes a 5 km race in 25 minutes. If the distance is represented on the x-axis and time on the y-axis, what is the slope of the line representing the runner's speed?

• 5.0 m/s

• 3.33 m/s

• 4.0 m/s

• 2.5 m/s

9. A phone plan costs $30 per month plus $0.10 per text message. What is the slope of the cost function in relation to the number of text messages sent?

• $30

• 0.30

• 0.10

• 0.05

10. A student’s grades improved from 60% to 80% over 5 months. Calculate the slope of the grade improvement and interpret what it means in terms of the student's performance.

• 10% per month

• 5% per month

• 4% per month

• 2% per month