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)
Responses

188.8 points
188.8 points

257.2 points
257.2 points

128.6 points
128.6 points

197.0 points
197.0 points

1 answer

To calculate the total score for Charles de Vendeville, we will use the scoring system provided:

Points from time underwater = seconds spent underwater * 1 point/second Points from distance traveled = meters traveled * 2 points/meter

Given:

  • Time underwater = 68.4 seconds
  • Distance traveled = 60.2 meters

Calculating the points:

  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, add both points together to find the total score: \[ \text{Total points} = \text{Points from time} + \text{Points from distance} = 68.4 , \text{points} + 120.4 , \text{points} = 188.8 , \text{points} \]

Therefore, Charles de Vendeville earned a total of 188.8 points.