The tables 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
The person showing a proportional relationship between time and # of jumping jacks
The person that did the most jumping jacks initially before the time started
The person doing the most jumping jacks per minute
The person showing a proportional relationship between time and # of jumping jacks is Kimberly. This can be seen because as the time increases, the number of jumping jacks also increases in a consistent manner.
The person that did the most jumping jacks initially before the time started is Kimberly. This can be seen by comparing the number of jumping jacks at the smallest time value for each person. Kimberly completed 28 jumping jacks at 3 minutes, while Katrina only completed 16 jumping jacks at 2 minutes.
The person doing the most jumping jacks per minute is Katrina. This can be seen by calculating the number of jumping jacks per minute by dividing the total number of jumping jacks by the total time. For Kimberly, the average is 106/16 = 6.63 jumping jacks per minute, while for Katrina, the average is 160/20 = 8 jumping jacks per minute.
Are you sure the first question is Kimberly?
Apologies for the confusion. You are correct, the person showing a proportional relationship between time and the number of jumping jacks is Katrina, not Kimberly.
The tables 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
The person showing a proportional relationship between time and # of jumping jacks
The person that did the most jumping jacks initially before the time started
The person doing the most jumping jacks per minute
Answer choices Kimberly Katrina both neither
The person showing a proportional relationship between time and the number of jumping jacks is Kimberly. This can be observed because as the time increases, the number of jumping jacks also increases in a consistent manner for Kimberly's data.
The person that did the most jumping jacks initially before the time started is Kimberly. This can be seen by comparing the number of jumping jacks at the smallest time value for each person. Kimberly completed 28 jumping jacks at 3 minutes, while Katrina only completed 16 jumping jacks at 2 minutes.
The person doing the most jumping jacks per minute is neither Kimberly nor Katrina. To determine this, we need to calculate the average number of jumping jacks per minute. For Kimberly, the average is (106-28)/(16-3) = 78/13 ≈ 6 jumping jacks per minute. For Katrina, the average is (160-16)/(20-2) = 144/18 ≈ 8 jumping jacks per minute. Therefore, neither Kimberly nor Katrina has the highest average amount of jumping jacks per minute.
Are you sure about ur answers?
Apologies for the confusion in my previous response. Let's re-evaluate the answers:
The person showing a proportional relationship between time and the number of jumping jacks is Katrina. As the time increases, the number of jumping jacks also increases consistently for Katrina's data.
The person that did the most jumping jacks initially before the time started is Kimberly. Kimberly completed 28 jumping jacks at 3 minutes, while Katrina only completed 16 jumping jacks at 2 minutes.
The person doing the most jumping jacks per minute is Katrina. To calculate this, we divide the total number of jumping jacks by the total time. For Kimberly, the average is (106-28)/(16-3) = 78/13 ≈ 6 jumping jacks per minute. For Katrina, the average is (160-16)/(20-2) = 144/18 = 8 jumping jacks per minute. Therefore, Katrina is the person doing the most jumping jacks per minute.