SOLUTION: Hello, I really need help with this problem...A bucket full of water has a leak. The bucket loses 71ml of water every 5 minutes. Let t represent the number of minutes since the buc

Question 814668: Hello, I really need help with this problem...A bucket full of water has a leak. The bucket loses 71ml of water every 5 minutes. Let t represent the number of minutes since the bucket started leaking.
A. As the number of minutes since the bucket started leaking increases from 13 to 29 minutes, what is the corresponding change in the volume of the water in the bucket?
B. By how much will the volume of the water in the bucket change when the number of minutes since the bucket started leaking changes by one minute?
C. As the volume of water in the bucket decreases from 60 ml to 23 ml, what is the corresponding change in the number of minutes since the bucket started leaking?
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
First, find the rate of water loss per minute.
71ml in 5 minutes means we loose 71/5 ml each minute.
A. Going from 13 minutes to 29 minutes takes ( 29-13 = 16 ) minutes.
16 minutes times 71/5 gives us (16 * 71/5) or 227.2 ml lost
B. See above
C. Going from 60 to 23 is a loss of 37.
Set t = time
71/5 * t = amount lost
71/5 * t = 37
Multiply each side by 5/71
t = 37 * (5/71)
t = 2.605 minutes

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