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A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 200 gallons of water leak out in the first 30 minutes, find the amount of water, A(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present. 1004 a) O A(t) = 1000 b) O A(t) = 1000e -1/30 1/30 c) O A(t) = 1000 -t/30 d) O A(t) = 1000() 1/30 4 e) O A(t) = 1000() f) None of the above.

A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 200 gallons of water leak out in the first 30 minutes, find the amount of water, A(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present. 1004 a) O A(t) = 1000 b) O A(t) = 1000e -1/30 1/30 c) O A(t) = 1000 -t/30 d) O A(t) = 1000() 1/30 4 e) O A(t) = 1000() f) None of the above.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 200 gallons of water leak out in the first 30 minutes, find the amount of water, A(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present. 1004 a) O A(t) = 1000 b) O A(t) = 1000e -1/30 1/30 c) O A(t) = 1000 -t/30 d) O A(t) = 1000E) 4 1/30 e) O A(t) = 1000( ) f) None of the above.
Transcribed Image Text:A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 200 gallons of water leak out in the first 30 minutes, find the amount of water, A(t), left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the amount of water present. 1004 a) O A(t) = 1000 b) O A(t) = 1000e -1/30 1/30 c) O A(t) = 1000 -t/30 d) O A(t) = 1000E) 4 1/30 e) O A(t) = 1000( ) f) None of the above.
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