Question

. The tables below show the number of jumping jacks completed after a given period of time in minutes.

Kimberly

Time (min) # Jumping Jacks
3 28
8 58
12 82
16 106
Katrina

Time (min) # Jumping Jacks
2 16
5 40
12 96
20 160


(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 doing the most jumping jacks per minute
The person that did the most jumping jacks initially before the time started
The person showing a proportional relationship between time and # of jumping jacks

Answer 1

wym 0

Answer 2

To answer the questions based on the provided data, let's analyze both Kimberly's and Katrina's performance in terms of jumping jacks.

1. **The person doing the most jumping jacks per minute:**
- For Kimberly:
- 3 min: 28 jumping jacks → 28/3 = 9.33 jacks/min
- 8 min: 58 jumping jacks → 58/8 = 7.25 jacks/min
- 12 min: 82 jumping jacks → 82/12 = 6.83 jacks/min
- 16 min: 106 jumping jacks → 106/16 = 6.625 jacks/min

- For Katrina:
- 2 min: 16 jumping jacks → 16/2 = 8 jacks/min
- 5 min: 40 jumping jacks → 40/5 = 8 jacks/min
- 12 min: 96 jumping jacks → 96/12 = 8 jacks/min
- 20 min: 160 jumping jacks → 160/20 = 8 jacks/min

**Answer:** The person doing the most jumping jacks per minute is **Kimberly** (based on the first measurement, as her 9.33 jacks/min is higher than Katrina's constant 8 jacks/min).

2. **The person that did the most jumping jacks initially before the time started:**
- Since both persons started their counts from 0 jumping jacks, the initial number of jumping jacks is the same for both at 0.

**Answer:** Both had **0** jumping jacks initially.

3. **The person showing a proportional relationship between time and # of jumping jacks:**
- To determine who shows a proportional relationship, we check if the ratio of jumping jacks to time is constant:
- For Kimberly: The ratios are not constant (decreasing over time).
- For Katrina: The ratios are constant (always 8 jacks/min).

**Answer:** The person showing a proportional relationship between time and # of jumping jacks is **Katrina**.

In summary:
- The person doing the most jumping jacks per minute: **Kimberly**
- The person that did the most jumping jacks initially before the time started: **0**
- The person showing a proportional relationship between time and # of jumping jacks: **Katrina**.

Answer 3

I apologize for any confusion in my previous response regarding the initial jumping jacks.

When referring to "the person that did the most jumping jacks initially before the time started," the context implies looking at who had completed more jumping jacks right at the start or the earliest measurement.

Since the tables provided show the number of jumping jacks completed starting from time intervals (not from time zero), both Kimberly and Katrina begin counting at their respective first times recorded. For Kimberly, the first entry is at 3 minutes, and for Katrina, it's at 2 minutes.

Thus, if we interpret "initially" as the first recorded jumping jacks:
- **Katrina** completed **16 jumping jacks** at **2 minutes**, which is higher than Kimberly's **28 jumping jacks at 3 minutes**.

So, to clarify:

- **The person doing the most jumping jacks per minute**: **Kimberly**
- **The person that did the most jumping jacks initially before the time started**: **Katrina** (16 jumping jacks at 2 minutes)
- **The person showing a proportional relationship between time and # of jumping jacks**: **Katrina**

Thank you for your patience, and I'm here if you have any more questions or if further clarification is needed!