If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following. As found earlier, the rate at which the water drains is given by V'(t) = −160 1 − 1 50t . When t = 20, the rate at which the water drains is, therefore, V'(20)
If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following. As found earlier, the rate at which the water drains is given by V'(t) = −160 1 − 1 50t . When t = 20, the rate at which the water drains is, therefore, V'(20)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 1MRE
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If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following.
As found earlier, the rate at which the water drains is given by
V'(t) = −160
1 −
t
.
| 1 |
| 50 |
When t = 20, the rate at which the water drains is, therefore,
V'(20) =
Transcribed Image Text:t
V = 4000 (1
50
0<t< 50
2.
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