Water is flowing into a tank at a steady rate of 4 gallons per minute. Let t be the time, in minutes, since the process began, and let V be the volume, in gallons, of water in the tank. (a) Explain why V is a linear function of t. Since the water flows in at a steady rate of 4 gallons per minute, the volume V has a --Select--- v rate of change of ---Select--- v gallons per minute. Thus, V is a linear function with slope --Select-- constant Write an equation of change for V. dV/dt = decreasing increasing (b) If initially there were 7 gallons of water in the tank, find a formula for V. V(t) = (c) The tank can hold 21 gallons. How long will it take to fill the tank? (Round your answer to two decimal places.) min
Water is flowing into a tank at a steady rate of 4 gallons per minute. Let t be the time, in minutes, since the process began, and let V be the volume, in gallons, of water in the tank. (a) Explain why V is a linear function of t. Since the water flows in at a steady rate of 4 gallons per minute, the volume V has a --Select--- v rate of change of ---Select--- v gallons per minute. Thus, V is a linear function with slope --Select-- constant Write an equation of change for V. dV/dt = decreasing increasing (b) If initially there were 7 gallons of water in the tank, find a formula for V. V(t) = (c) The tank can hold 21 gallons. How long will it take to fill the tank? (Round your answer to two decimal places.) min
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 8E
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