If a tank holds 4500 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 V = 4500 Osts 50. Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min gal/min (b) 10 min gal/min (c) 20 min gal/min (d) 50 min gal/min At what time (in min) is the water flowing out the fastest? min At what time (in min) is the water flowing out the slowest? t = min

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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If a tank holds 4500 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
1
- t
50
V = 4500 1
0 st< 50.
Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is
decreasing.)
(а) 5 min
gal/min
(b) 10 min
gal/min
(c) 20 min
gal/min
(d) 50 min
gal/min
At what time (in min) is the water flowing out the fastest?
t =
min
At what time (in min) is the water flowing out the slowest?
t =
min
Transcribed Image Text:If a tank holds 4500 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 1 - t 50 V = 4500 1 0 st< 50. Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (а) 5 min gal/min (b) 10 min gal/min (c) 20 min gal/min (d) 50 min gal/min At what time (in min) is the water flowing out the fastest? t = min At what time (in min) is the water flowing out the slowest? t = min
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