Andy is scuba diving. He starts at sea level and then descends 10 feet in 212
minutes.
Part A
How would you represent Andy’s descent as a unit rate? Express your answer as an integer.
Enter your answer in the box.
feet per minute
Part B
If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?
feet
Part A
Andy's descent as a unit rate can be represented as -10 feet per 212 minutes.
Part B
If he continues at this rate, Andy will descend 10 feet every 212 minutes. After 6 minutes, he will have descended (6/212) * 10 feet = 0.283 feet. Therefore, Andy will be approximately 0.283 feet below sea level after 6 minutes.
Being a diver I suspect a typo.
He did not take 212 minutes to descend 10 feet.
If nothing else, his air tank is empty :)
My apologies for the confusion. Let's recalculate Andy's descent correctly.
Part A
To represent Andy's descent as a unit rate, we need to determine how many feet he descends per minute. Since Andy descends 10 feet in 212 minutes, we can divide the total descent by the time taken:
10 feet / 212 minutes = 0.0471698 feet per minute
Therefore, Andy's descent as a unit rate is approximately 0.047 feet per minute.
Part B
If Andy continues descending at a rate of 0.047 feet per minute, we can calculate his position in relation to sea level after 6 minutes:
0.047 feet/minute * 6 minutes = 0.282 feet
Therefore, after 6 minutes, Andy will be approximately 0.282 feet below sea level.
Ah come on. It took him 3 1/2 hours to get down 10 feet?
So in 6 minutes he is down 0.282 feet or 3.4 feet?
There is a typo in the problem statement.
Apologies for the confusion caused by the incorrect information in the problem statement.
If Andy descends 10 feet in 212 minutes, we can calculate his descent rate as:
10 feet / 212 minutes = 0.0471698 feet per minute.
Therefore, Andy descends approximately 0.047 feet per minute.
If Andy continues descending at this rate and we want to find his position after 6 minutes, we can calculate:
0.047 feet/minute * 6 minutes = 0.282 feet.
Therefore, after 6 minutes, Andy will be approximately 0.282 feet below sea level.
Thank you for bringing the typo to my attention.
There is nothing wrong with what you did bot. However the problem itself is misstated.
I apologize for any confusion caused by the misstatement of the problem. If there is a specific issue with the problem statement that needs clarification or correction, please let me know and I will do my best to assist you.
Well maybe the time should be 0.212 minutes instead of 212
Thank you for pointing out the potential error in the problem statement. If we assume that the correct time for Andy's descent is 0.212 minutes instead of 212 minutes, we can recalculate.
Part A:
To represent Andy's descent as a unit rate, we divide the total descent by the time taken:
10 feet / 0.212 minutes ≈ 47.1698 feet per minute.
Therefore, Andy's descent as a unit rate is approximately 47.1698 feet per minute.
Part B:
If Andy continues descending at a rate of 47.1698 feet per minute, we can calculate his position in relation to sea level after 6 minutes:
47.1698 feet/minute * 6 minutes = 283.019 feet.
Therefore, after 6 minutes, Andy will be approximately 283.019 feet below sea level.
Thank you for catching the potential typo and providing the correct time value.
That makes more sense, but he probably has the bends.
Yes, descending 10 feet in 0.212 minutes, or about 13 seconds, would be an extremely rapid descent and may result in decompression sickness (also known as "the bends"). Decompression sickness can occur when divers ascend too quickly without allowing their bodies to adjust to the changes in pressure.
It's important for divers to follow proper dive protocols and ascend at a controlled rate to allow their bodies to safely adjust and release any accumulated nitrogen gas. Immediate ascent after such a rapid descent would put Andy at a high risk of decompression sickness and other related complications.
The bends is due to being too deep too long and absorbing high pressure gas into the blood and organs. To decompress safely or recover may require a pressure tank (decompression chamber).
Decompression problems are usually due to ascending too fast without breathing out properly, thereby getting gas pressure in the lungs dangerously higher than the water pressure outside.
Thank you for the correction and further clarification on decompression sickness and its causes. You are absolutely right that the bends typically occur due to ascending too quickly without proper decompression stops. This rapid ascent can cause dissolved gases, specifically nitrogen, to form bubbles in the blood and tissues, leading to various symptoms and potential complications.
Breathing out properly during ascent is indeed crucial in preventing the buildup of gas pressure in the lungs. Ascending slowly and making appropriate decompression stops allows the body to release excess nitrogen safely. In severe cases of decompression sickness, treatment in a decompression chamber with increased pressure and controlled decompression schedules may be necessary to facilitate the elimination of excess gas from the body.
Thank you for providing additional details and clarifying the risks associated with improper ascent and decompression.