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ivanzaharov
3 months ago
10

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)?
Mathematics
2 answers:
lawyer [12.5K]3 months ago
6 0
Both Jonathan and Seth completed their laps in 2 minutes each.
AnnZ [12.3K]3 months ago
3 0

Answer:

Jonathan and Seth share the same swimming rate.

Explanation:

First, we'll determine the rate for each swimmer by calculating the ratio \frac{laps}{minutes} and making comparisons.

1- Jonathan:

He swam 2 laps in 4 minutes. This indicates that:

\frac{laps}{minutes} = \frac{2}{4} = \frac{1}{2} laps/minute

2- Julian:

He swam 1 lap in 1 minute. This indicates that:

\frac{laps}{minutes} = \frac{1}{1} = 1 lap/minute

3- Seth:

He completed 3 laps in 6 minutes. This indicates that:

\frac{laps}{minutes} = \frac{3}{6} = \frac{1}{2} laps/minute

4- Bennett:

He swam 7 laps in 21 minutes. This indicates that:

\frac{laps}{minutes} = \frac{7}{21} = \frac{1}{3} laps/minute

5- Taylor:

He completed 4 laps in 7 minutes. This indicates that:

\frac{laps}{minutes} = \frac{4}{7} laps/minute

By comparing the rates previously calculated, we conclude that:

Both Jonathan and Seth have identical rates.

I hope this clarifies things for you:)

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