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In 1900, there was an Olympic underwater swimming event. The score was calculated by giving two points for each second the swimmer stayed underwater, and one point for each meter that the swimmer traveled. Charles de Vendeville from France earned a gold medal by staying underwater 68.4 seconds while traveling 60.2 meters. How many points did Charles de Vendeville earn to place first? Express the answer to the nearest tenth of a point.



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(1 point)
Responses

197.0 points
197.0 points

188.8 points
188.8 points

128.6 points
128.6 points

257.2 points

1 answer

To calculate the total points that Charles de Vendeville earned in the underwater swimming event, we can use the scoring system provided:

  1. Points for time underwater: \(2\) points for each second.
  2. Points for distance traveled: \(1\) point for each meter.

Charles stayed underwater for \(68.4\) seconds and traveled \(60.2\) meters.

Now we can calculate the points:

  1. Points from time underwater: \[ \text{Points from time} = 2 \times 68.4 = 136.8 \]

  2. Points from distance traveled: \[ \text{Points from distance} = 1 \times 60.2 = 60.2 \]

  3. Total points: \[ \text{Total points} = \text{Points from time} + \text{Points from distance} = 136.8 + 60.2 = 197.0 \]

Therefore, Charles de Vendeville earned a total of 197.0 points.