Math Problem Statement
A large koi pond is filled from a garden hose at the rate of 18 gal/min. Initially, the pond contains 200 gal of water.
(a) Find a linear function V that models the volume of water in the pond at any time t. V(t) =
(b) If the pond has a capacity of 1946 gal, how long does it take to completely fill the pond? min
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Rate of Change
Formulas
Linear function: V(t) = Initial volume + (Rate of change × t)
t = (Final volume - Initial volume) / Rate of change
Theorems
Linear growth model
Suitable Grade Level
Grades 7-9