Two statements are given below. Select the statement for which a ratio of the measurements is meaningful. State “Neither” or “Both” if appropriate.
1 - Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
2 - Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM.
A. Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
B. Neither
C. Both
D. Juan gets out of school at 2:45 PM, and Aito gets out of school at 3:15 PM
an: B
Kasheta speed =d/22.3
Louisa speed = d/26.4
so
Kasheta speed/Louisa speed = 1.18
Kasheta is 18% faster. That is meaningful.
A state trooper’s radar indicates that your car is traveling 70 miles per hour; you had the cruise control set at 65 mph. What is the relative error?
The statement for which a ratio of the measurements is meaningful is:
A. Kasheta ran the race in 22.3 sec, and Louisa ran the same race in 26.4 sec.
The ratio of their race times can be calculated as 22.3/26.4, which gives a meaningful comparison of their speeds.
The statement for which a ratio of the measurements is meaningful is statement A.
To explain how to get the answer, in statement A, we have two measurements of time - 22.3 seconds and 26.4 seconds. We can find the ratio between these two measurements by dividing the first measurement by the second measurement.
Ratio = 22.3 sec / 26.4 sec
This will give us a meaningful ratio that represents the difference in time between Kasheta and Louisa's race. The answer is not Both because the second statement does not involve any measurements that can be ratioed. The answer is not D because comparing the time Juan gets out of school and the time Aito gets out of school does not result in a meaningful ratio. Therefore, statement B is the correct answer.