8. The tables below show the number of jumping jacks completed after a given period of time in minutes. KimberlyTime (min) # Jumping Jacks3 288 5812 8216 106KatrinaTime (min) # Jumping Jacks2 165 4012 9620 160 (3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.The person that did the most jumping jacks initially before the time startedThe person showing a proportional relationship between time and # of jumping jacksThe person doing the most jumping jacks per minuteNeitherBothKatrinaKimberlyQuestion 2

Question

8. The tables below show the number of jumping jacks completed after a given period of time in minutes. KimberlyTime (min) # Jumping Jacks3 288 5812 8216 106KatrinaTime (min) # Jumping Jacks2 165 4012 9620 160 (3 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.The person that did the most jumping jacks initially before the time startedThe person showing a proportional relationship between time and # of jumping jacksThe person doing the most jumping jacks per minuteNeitherBothKatrinaKimberlyQuestion 2

GPT-4o mini · Answer

To analyze the data of jumping jacks completed by Kimberly and Katrina, let's break down each question:

The person that did the most jumping jacks initially before the time started:
- Both tables provided do not indicate any jumping jacks before 0 minutes. The first recorded jumping jacks for both is at the beginning of their respective time intervals. Therefore, it's unclear who did any before the timer started based solely on the numbers provided.
Response: Neither
The person showing a proportional relationship between time and # of jumping jacks:
- A proportional relationship means that as time increases, the number of jumping jacks increases at a constant rate (which would result in a straight line when graphed).
- To determine who has a proportional relationship, we can calculate the rate of jumping jacks per minute:
  - Kimberly:
    - From 3 min to 8 min = (288 - 165) / (8 - 3) = 123 / 5 = 24.6 jumping jacks per minute (not constant)
    - From 8 min to 12 min = (581 - 401) / (12 - 8) = 180 / 4 = 45 jumping jacks per minute (increases)
    - From 12 min to 16 min = (821 - 581) / (16 - 12) = 240 / 4 = 60 jumping jacks per minute (increases)
  - Katrina:
    - From 2 min to 5 min = (165 - 0) / (2 - 0) = 165 / 2 = 82.5 jumping jacks per minute
    - From 5 min to 12 min = (401 - 165) / (12 - 5) = 236 / 7 = 33.7 (not constant)
    - From 12 min to 20 min = (960 - 401) / (20 - 12) = 559 / 8 = 69.875 (not constant)
Response: Neither shows a clear proportional relationship in a consistent manner throughout.
The person doing the most jumping jacks per minute:
- We can calculate the average number of jumping jacks per minute for the total time period for both:
- Kimberly: Total jumping jacks = 1060, Total time = 16 minutes: 1060 / 16 = 66.25
- Katrina: Total jumping jacks = 960, Total time = 20 minutes: 960 / 20 = 48
Response: Kimberly

Thus, the final responses are:

Neither
Neither
Kimberly