Water is pumped into a cylindrical tank, and then drained out. Suppose the volume of water in the tank in cubic feet after t hours is given by the equation V(t) = -0.064t³ + 0.256t² – 0.65t + 7. Using an online tool like Desmos, sketch a graph of V(t) on the interval [0, 8]. a) Find and interpret the maximum value of V(t) on this interval. Maximum value: ? We can interpret this as: OA. the height of the tank in feet is 7 feet. OB. the fastest the water is draining at any time in the given time interval is 7 feet per second. OC. the amount of time it takes for all of the water to drain from the tank is 7 hours. OD. the most water in the tank at any time in the given time interval is the initial amount. b) Interpret both the vertical and horizontal intercepts of V(t) in the context of the problem. The vertical intercept: OA. is the amount of time it takes for all of the water to drain from the tank. OB. is the initial volume of water in the tank. OC. is the fastest speed at which the water is draining from the tank. OD. is the amount of water left in the tank after 7 hours. The horizontal intercept: OA. is the amount of water left in the tank after 7 hours. OB. is the duration of time in hours it takes for all of the water to drain from the tank. OC. is the initial volume of water in the tank. OD. is the fastest speed at which the water is draining from the tank.
Water is pumped into a cylindrical tank, and then drained out. Suppose the volume of water in the tank in cubic feet after t hours is given by the equation V(t) = -0.064t³ + 0.256t² – 0.65t + 7. Using an online tool like Desmos, sketch a graph of V(t) on the interval [0, 8]. a) Find and interpret the maximum value of V(t) on this interval. Maximum value: ? We can interpret this as: OA. the height of the tank in feet is 7 feet. OB. the fastest the water is draining at any time in the given time interval is 7 feet per second. OC. the amount of time it takes for all of the water to drain from the tank is 7 hours. OD. the most water in the tank at any time in the given time interval is the initial amount. b) Interpret both the vertical and horizontal intercepts of V(t) in the context of the problem. The vertical intercept: OA. is the amount of time it takes for all of the water to drain from the tank. OB. is the initial volume of water in the tank. OC. is the fastest speed at which the water is draining from the tank. OD. is the amount of water left in the tank after 7 hours. The horizontal intercept: OA. is the amount of water left in the tank after 7 hours. OB. is the duration of time in hours it takes for all of the water to drain from the tank. OC. is the initial volume of water in the tank. OD. is the fastest speed at which the water is draining from the tank.
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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