Question 1: A cyclist records her speed (km/h) over time. If her speed is 20 km/h at 2 minutes and increases by 2 km/h every minute, choose appropriate x-values (time in minutes) to complete a table for plotting.

Answer: 2, 4, 6, 8

Question 2: Calculate the y-values (speed) for x-values of 1, 3, 5 minutes, given the speed at 2 minutes is 22 km/h and increases by 2 km/h each minute.

Answer: 20, 22, 24

Question 3: Explain why choosing x-values at regular intervals, such as every 2 minutes, helps in plotting a clear graph of a runner’s pace over time.

Answer: Regular intervals provide consistent data points, making the graph easier to interpret and ensuring accuracy in visualizing the trend.

Question 4: A swimmer’s lap time (seconds) decreases as her fitness improves. She records times at x-values 1, 2, 3, 4, 5 minutes. Determine the x-values that would best show rapid improvement in her performance.

Answer: 1, 2, 3

Question 5: A football player runs at different speeds during a match. If at x = 0 minutes, he runs at 8 km/h, and at x = 10 minutes, he runs at 12 km/h, suggest x-values to plot a linear graph representing his speed over time.

Answer: 0, 2, 4, 6, 8, 10

Question 6: Construct a table with x-values and y-values where y = 3x + 5, choosing x-values from -2 to 2. Which x-values would make the graph most informative?

Answer: -2, -1, 0, 1, 2

Question 7: In a fitness tracker, the number of push-ups (y) increases linearly with time (x). If at 0 minutes she does 10 push-ups, and at 5 minutes she does 20, choose x-values that best illustrate her progress.

Answer: 0, 1, 2, 3, 4, 5

Question 8: A sprinter’s speed (km/h) is recorded at specific x-values. If she maintains a constant speed from 0 to 4 minutes, which x-values should be chosen to accurately plot her performance?

Answer: 0, 2, 4

Question 9: A coach wants to analyze a player’s stamina. She records the number of sprints (y) over 10-minute intervals. Which x-values are most suitable for plotting a linear trend?

Answer: 0, 2, 4, 6, 8, 10

Question 10: Identify a common mistake when choosing x-values at irregular intervals in sports data plots, and explain how to correct it.

Answer: Irregular intervals can lead to uneven data representation, making trends harder to identify. Choosing regular intervals improves clarity and accuracy.

Question 11: A basketball player’s points scored per quarter are recorded. To analyze performance over the game, which x-values should be selected for plotting?

Answer: Q1, Q2, Q3, Q4