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 earned by Charles de Vendeville, we can use the scoring rules given:

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

Let's calculate the points for Charles de Vendeville:

  • He stayed underwater for 68.4 seconds, so the points earned for time are: \[ \text{Points from time} = 2 \times 68.4 = 136.8 \text{ points} \]

  • He traveled 60.2 meters, so the points earned for distance are: \[ \text{Points from distance} = 1 \times 60.2 = 60.2 \text{ points} \]

Now, we will add these two amounts together to find the total score: \[ \text{Total points} = 136.8 + 60.2 = 197.0 \text{ points} \]

Thus, Charles de Vendeville earned 197.0 points to place first.