A team of swimmers is training for a swim meet. The table shows the number of laps each person has swum so far and how long the laps took.
Name Laps Time (minutes)
Jonathan 2 4
Julian 1 1
Seth 3 6
Bennett 7 21
Taylor 4 7
The relationship between time and the number of laps is not proportional across all swimmers. Which two swimmers swam at the same rate (had time and laps in the same proportion)?
Answers
Answer:
Jonathan and Seth
Step-by-step explanation:
I did the test and got it right.
Given: A team of swimmers is training for a swim meet. The table shows the number of laps each person has swum so far and how long the laps took.
Name Laps Time (minutes)
Jonathan 2 4
Julian 1 1
Seth 3 6
Bennett 7 21
Taylor 4 7
To find: The two swimmers who swam at the same rate
Solution: For finding the rate of each swimmer, we find the time taken for swimming one lap.
For Jonathan:
Number of laps= 2
Time = 4 minutes
Rate
= Number of laps/ Time
= 2/4
= 0.5 laps / min
For Julian:
Number of laps= 1
Time = 1 minute
Rate
= Number of laps/ Time
= 1/1
= 1 lap / min
For Seth:
Number of laps= 3
Time = 6 minutes
Rate
= Number of laps/ Time
= 3/6
= 0.5 laps / min
For Bennett:
Number of laps= 7
Time = 21 minutes
Rate
= Number of laps/ Time
= 7/21
= 0.33 laps / min
For Taylor:
Number of laps= 4
Time = 7 minutes
Rate
= Number of laps/ Time
= 4/7
= 0.571 laps/ min
Clearly, Jonathan and Seth take 0.5 laps per minute.
Therefore, Jonathan and Seth swam at the same rate.