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. NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(1 point)Responses257.2 points257.2 points128.6 points128.6 points197.0 points197.0 points188.8 points

1 answer

To calculate the score earned by Charles de Vendeville, we will consider both the time he stayed underwater and the distance he traveled.

  1. Time Points: He stayed underwater for 68.4 seconds. This earns him: \[ 1 , \text{point/second} \times 68.4 , \text{seconds} = 68.4 , \text{points} \]

  2. Distance Points: He traveled 60.2 meters. This earns him: \[ 2 , \text{points/meter} \times 60.2 , \text{meters} = 120.4 , \text{points} \]

  3. Total Score: Adding the points from time and distance gives: \[ 68.4 , \text{points} + 120.4 , \text{points} = 188.8 , \text{points} \]

Thus, Charles de Vendeville earned 188.8 points.