Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5, Problem 6SAP

To determine

To Find: The time when pool will be completely full.

Expert Solution & Answer

Answer to Problem 6SAP

Explanation of Solution

Given: A swimming pool with a capacity of 36,000 gallons originally contained 9,000 gallons of water. At 10:00 AM water begins to flow into the pool at constant rate. If the pool is exactly 34 full at 1:00 PM on the same day and the water continues to flow at the same rate.

(A) 1:40 P.M.(B) 2:00 P.M.(C) 2:30 P.M.(D) 3:00 P.M.(E) 3:30 P.M.

At 10:00 AM volume of water in pool = 9,000 gallons

Let t=0 represents time 10:00 AM.

At t=0 volume of pool 9000 gallons.

Point: (0,9000)

At 1:00 PM volume of water in pool =34×36000=27000 gallons.

At t=3 volume of pool 27000 gallons.

Point: (3,27000)

Now find the equation using two point.

V−9000=27000−90003−0(t−0)V=6000t+9000

Now calculate the time when pool will completely fill.

Put V =36000

36000=6000t+90006000t=27000t=270006000t=92t=4.5

At t=0 represents time 10:00 AM.

Therefore, t=4.5 represents time 2:30PM.

Hence, option C is correct.

Chapter 5, Problem 5SAP

Chapter 5, Problem 7SAP

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

Ch. 5.1 - Prob. 11CFU Ch. 5.1 - Prob. 12CFU Ch. 5.1 - Prob. 13CFU Ch. 5.1 - Prob. 14CFU Ch. 5.1 - Prob. 15CFU Ch. 5.1 - Prob. 16CFU Ch. 5.1 - Prob. 17CFU Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - 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