At the start of a thunderstorm, there is 4 inches of water on the ground. During the storm, water accumulates at a constant rate of 2.5 inches per hour. ________ a) Give the recursive function for the number of inches of water after n hours. A) P0=2.5 Pn=Pn−1+4P0=2.5 Pn=Pn-1+4 B) Pn=2.5n+4Pn=2.5n+4 C) P0=4 Pn=Pn−1+2.5P0=4 Pn=Pn-1+2.5 D)Pn=4n+2.5Pn=4n+2.5 ________ b) Give the explicit function for the number of inches of water after n hours. A) P0=2.5 Pn=Pn−1+4P0=2.5 Pn=Pn-1+4 B) Pn=2.5n+4Pn=2.5n+4 C) P0=4 Pn=Pn−1+2.5P0=4 Pn=Pn-1+2.5 D)Pn=4n+2.5Pn=4n+2.5 ________ c) How much water accumulates in the first 6 hours? A) 19 inches B) 22 inches C) 26.5 inches D) None of the above. ________ d) When will there be 2 feet of water? A) 5 hours B) 8 hours C) 0.8 hours D) None of the above.
At the start of a thunderstorm, there is 4 inches of water on the ground. During the storm, water accumulates at a constant rate of 2.5 inches per hour.
________ a) Give the recursive function for the number of inches of water after n hours.
A) P0=2.5 Pn=Pn−1+4P0=2.5 Pn=Pn-1+4
B) Pn=2.5n+4Pn=2.5n+4
C) P0=4 Pn=Pn−1+2.5P0=4 Pn=Pn-1+2.5
D)Pn=4n+2.5Pn=4n+2.5
________ b) Give the explicit function for the number of inches of water after n hours.
A) P0=2.5 Pn=Pn−1+4P0=2.5 Pn=Pn-1+4
B) Pn=2.5n+4Pn=2.5n+4
C) P0=4 Pn=Pn−1+2.5P0=4 Pn=Pn-1+2.5
D)Pn=4n+2.5Pn=4n+2.5
________ c) How much water accumulates in the first 6 hours?
A) 19 inches B) 22 inches C) 26.5 inches D) None of the above.
________ d) When will there be 2 feet of water?
A) 5 hours B) 8 hours C) 0.8 hours D) None of the above.
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