. Alicia and Margaret did jumping jacks.
Which choice best describes the difference between
the rates at which the girls did jumping jacks?
H. Margaret did 5 more jumping jacks per minute
than Alicia.
I. Alicia did 5 more jumping jacks per minute than
Margaret.
J. They did the same number of jumping jacks per
minute.
7 answers
H. Margaret did 5 more jumping jacks per minute than Alicia.
wrong
I. Alicia did 5 more jumping jacks per minute than Margaret.
explain
If Alicia did 5 more jumping jacks per minute than Margaret, then Alicia's rate of doing jumping jacks is higher than Margaret's. This means that Alicia did more jumping jacks in a shorter amount of time. So, choice I is the correct answer.
show you work
Let's say that Alicia did x jumping jacks per minute.
According to choice I, Margaret did 5 more jumping jacks per minute than Alicia. So, Margaret did x + 5 jumping jacks per minute.
Given that Alicia and Margaret did the same number of jumping jacks, we can set up an equation to find the value of x:
x(time) = (x+5)(time)
This equation shows that the total number of jumping jacks is the same for both Alicia and Margaret.
Let's solve this equation:
x = x + 5
Subtracting x from both sides gives us:
0 = 5
This equation has no solution as 0 cannot be equal to 5.
Therefore, the correct answer is that the girls did not do the same number of jumping jacks per minute, contradicting choice J. The correct choice is I: Alicia did 5 more jumping jacks per minute than Margaret.
According to choice I, Margaret did 5 more jumping jacks per minute than Alicia. So, Margaret did x + 5 jumping jacks per minute.
Given that Alicia and Margaret did the same number of jumping jacks, we can set up an equation to find the value of x:
x(time) = (x+5)(time)
This equation shows that the total number of jumping jacks is the same for both Alicia and Margaret.
Let's solve this equation:
x = x + 5
Subtracting x from both sides gives us:
0 = 5
This equation has no solution as 0 cannot be equal to 5.
Therefore, the correct answer is that the girls did not do the same number of jumping jacks per minute, contradicting choice J. The correct choice is I: Alicia did 5 more jumping jacks per minute than Margaret.