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If you wanted to find the depth of a submarine during a dive, would it be more reasonable to use an equation with the rate in feet per minute or feet per hour? Explain your reasoning.

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Answer:

When finding the depth of a submarine, it would be more reasonable to calculate feet per minute rather than feet per hour.

The reason for this is that calculating feet per minute allows for a more accurate measurement of the submarine's depth in real-time. Since submarines can descend and ascend relatively quickly, measuring the depth in feet per minute provides a better understanding of the rate at which the submarine is moving vertically through the water.

Calculating feet per hour, on the other hand, would provide a less precise measurement because it covers a longer time period. The submarine's depth can change significantly within an hour, especially during maneuvers or emergency situations. Using feet per hour could result in a less accurate representation of the submarine's actual depth.

To illustrate this, let's consider an example. If a submarine descends at a rate of 100 feet per minute, after 5 minutes, it would have reached a depth of 500 feet. However, if we were to calculate feet per hour, the same rate of descent would equate to 6,000 feet per hour. This calculation would not accurately reflect the submarine's depth after 5 minutes.

Therefore, to ensure more precise measurements of a submarine's depth, it is more reasonable to calculate feet per minute rather than feet per hour.

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