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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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