7. The tables below show the number of jumping jacks completed after a given period of time in minutes. %0D%0A%0D%0AKimberly%0D%0A%0D%0ATime (min)%09# Jumping Jacks%0D%0A3%0928%0D%0A8%0958%0D%0A12%0982%0D%0A16%09106%0D%0AKatrina%0D%0A%0D%0ATime (min)%09# Jumping Jacks%0D%0A2%0916%0D%0A5%0940%0D%0A12%0996%0D%0A20%09160%0D%0A %0D%0A%0D%0A(3 points)%0D%0APut 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.%0D%0AThe person that did the most jumping jacks initially before the time started%0D%0AThe person showing a proportional relationship between time and # of jumping jacks%0D%0AThe person doing the most jumping jacks per minute%0D%0ANeitherBothKatrinaKimberly
The person that did the most jumping jacks initially before the time started: Kimberly
The person showing a proportional relationship between time and # of jumping jacks: Neither
The person doing the most jumping jacks per minute: Katrina
Both: Neither
Based on the given data, let's analyze the information to answer each question:
1. The person that did the most jumping jacks initially before the time started:
Looking at the data, we can compare the number of jumping jacks at time zero (initially) for both Kimberly and Katrina.
Kimberly: 28 jumping jacks at 3 minutes
Katrina: 16 jumping jacks at 2 minutes
Comparing these numbers, we can conclude that Kimberly did the most jumping jacks initially before the time started. So, the answer is Kimberly.
2. The person showing a proportional relationship between time and number of jumping jacks:
To check for a proportional relationship, we need to compare the increase in the number of jumping jacks for each person as time increases.
Kimberly:
At 3 minutes: 28 jumping jacks
At 8 minutes: 58 jumping jacks
Katrina:
At 2 minutes: 16 jumping jacks
At 5 minutes: 40 jumping jacks
By comparing these data points, we can see that both Kimberly and Katrina show a proportional relationship between time and the number of jumping jacks.
3. The person doing the most jumping jacks per minute:
To determine who did the most jumping jacks per minute, we need to calculate the rate by dividing the total number of jumping jacks by the time.
Kimberly:
Total jumping jacks = 106
Total time = 16 minutes
Rate = 106/16 = 6.625 jumping jacks per minute
Katrina:
Total jumping jacks = 160
Total time = 20 minutes
Rate = 160/20 = 8 jumping jacks per minute
Comparing these rates, we can conclude that Katrina did the most jumping jacks per minute.
4. Neither, Both, Kimberly, or Katrina:
From the above analysis, we can see that:
- Kimberly did the most jumping jacks initially before the time started.
- Both Kimberly and Katrina show a proportional relationship between time and the number of jumping jacks.
- Katrina did the most jumping jacks per minute.
Therefore, the answer is Both.
To determine the person that did the most jumping jacks initially before the time started, we need to look at the highest number of jumping jacks recorded at the lowest time value.
From the given tables:
Kimberly:
Time (min) # Jumping Jacks
3 28
Katrina:
Time (min) # Jumping Jacks
2 16
Comparing the highest number of jumping jacks at the lowest time value, Kimberly did the most jumping jacks initially before the time started as she completed 28 jumping jacks in 3 minutes.
Next, to determine the person showing a proportional relationship between time and the number of jumping jacks, we need to examine if the rate of increase in jumping jacks is consistent as time increases.
Looking at the data:
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
Comparing the rate of increase, we can see that both Kimberly and Katrina show a proportional relationship between time and the number of jumping jacks. So the answer is: Both.
Lastly, to determine the person doing the most jumping jacks per minute, we need to calculate the rate of jumping jacks per minute for each person and compare the values.
Kimberly:
Rate of jumping jacks per minute = Total jumping jacks / Total time
Rate for Kimberly = 106 / 16 = 6.625 jumping jacks per minute
Katrina:
Rate of jumping jacks per minute = Total jumping jacks / Total time
Rate for Katrina = 160 / 20 = 8 jumping jacks per minute
Comparing the rates, Katrina did the most jumping jacks per minute with a rate of 8 jumping jacks per minute.
So, to summarize:
The person that did the most jumping jacks initially before the time started: Kimberly
The person showing a proportional relationship between time and the number of jumping jacks: Both
The person doing the most jumping jacks per minute: Katrina