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A scuba diver dives in a straight line from a boat to a coral reef. Before the dive, the diver has 2100 liters of gas in his dive tank. When diving from the boat to the reef, he uses an average of 4.3 liters of gas per meter traveled. How much gas does the diver have in his tank when he reaches the coral reef? Give your answer to the nearest liter.

Answer :

To calculate the remaining gas in a scuba diver's tank after traveling to a coral reef, multiply the distance by the consumption rate of 4.3 liters per meter, then subtract that from the initial gas amount. Assuming a distance of 100 meters, the diver uses 430 liters and would have 1670 liters of gas remaining, rounded to the nearest liter.

The student's question relates to a practical application of mathematics to calculate the remaining gas in a scuba diver's tank after a certain distance traveled underwater. To find out how much gas the diver has left when he reaches the coral reef, we need to use the following steps:

  • Determine the initial amount of gas in the diver's tank.
  • Calculate the total amount of gas used based on the distance traveled and the average consumption rate.
  • Subtract the total gas used from the initial amount to find the remaining gas.

If the diver started with 2100 liters of gas and uses 4.3 liters of gas per meter, the calculation to find the remaining gas would be as follows:

  1. Multiply the distance traveled by the consumption rate (4.3 liters/meter) to find the total gas used.
  2. Subtract the total gas used from the initial gas amount.

Assuming the distance from the boat to the reef is given or known, if, for example, the distance is 100 meters, the total gas used would be 100 meters imes 4.3 liters/meter = 430 liters.

The remaining gas in the tank would be 2100 liters - 430 liters = 1670 liters. This value should be rounded to the nearest liter as requested.

Thus, the diver would have approximately 1670 liters of gas left in the tank upon reaching the coral reef.

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