a. To determine which person is doing more jumping jacks per second, we can divide the total number of jumping jacks by the total time in seconds for each person.
For Kimberly, the total time is 16 seconds and the total number of jumping jacks is 69.
Jacks per second for Kimberly = 69/16 = 4.3125
For Katrina, the total time is 20 seconds and the total number of jumping jacks is 100.
Jacks per second for Katrina = 100/20 = 5
Therefore, Katrina is doing more jumping jacks per second.
b. To determine which person had done more jumping jacks initially before the timer started, we need to look at the number of jumping jacks at time 0.
For Kimberly, there is no information about the number of jumping jacks at time 0.
For Katrina, there is information about the number of jumping jacks at time 2 seconds, which is 10.
Therefore, Katrina had done more jumping jacks initially before the timer started.
c. To determine which person shows a proportional relationship between time and jumping jacks, we can look at the ratios of jumping jacks to time for each person.
For Kimberly, the ratios are:
17/3 = 5.67
37/8 = 4.625
53/12 = 4.42
69/16 = 4.3125
For Katrina, the ratios are:
10/2 = 5
25/5 = 5
60/12 = 5
100/20 = 5
Both Kimberly and Katrina show a constant ratio of 5, so they both show a proportional relationship between time and jumping jacks.
17. The tables below show the number of jumping jacks completed after a given period of time in seconds.
Kimberly:
Time (seconds) Jumping Jacks
3 17
8 37
12 53
16 69
Katrina:
Time (seconds) Jumping Jacks
2 10
5 25
12 60
20 100(3 points)
a. Which person is doing more jumping jacks per second?
b. Which person had done more jumping jacks initially before the timer started?
c. Which person shows a proportional relationship?
Skip to navigation
1 answer
1 answer