In 1900, there was an Olympic underwater swimming event. The score was calculated by giving one point for each second the swimmer stayed underwater, and two points 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)
• 257.2 points
• 128.6 points
• 188.8 points
• 197.0 points

1 answer

To calculate the total points Charles de Vendeville earned, we need to use the scoring system provided:

  1. For each second spent underwater, he earns 1 point.
  2. For each meter traveled, he earns 2 points.

Now, let’s calculate:

  1. Points from time underwater: \[ \text{Points from time} = 68.4 \text{ seconds} \times 1 \text{ point/second} = 68.4 \text{ points} \]

  2. Points from distance traveled: \[ \text{Points from distance} = 60.2 \text{ meters} \times 2 \text{ points/meter} = 120.4 \text{ points} \]

Now, we add the points from time and distance: \[ \text{Total points} = 68.4 \text{ points} + 120.4 \text{ points} = 188.8 \text{ points} \]

Therefore, Charles de Vendeville earned 188.8 points to place first.