A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water. (a) Find a linear function V that models the volume of water in the pond at any time t. V(t) 500 + 15t (b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond? 133.5 min

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water.
(a) Find a linear function V that models the volume of water in the pond at any time t.
V(t)
500 + 15t
(b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond?
133.5
min
Transcribed Image Text:A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water. (a) Find a linear function V that models the volume of water in the pond at any time t. V(t) 500 + 15t (b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond? 133.5 min
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