A small koi pond is filled from a garden hose at the rate of 16 L/min. Initially, the pond contains 350 L of water.
(a) Find a linear function V that models the volume of water in the pond at any time t.
(b) If the pond has a capacity of 1694 L, how long does it take to completely fill the pond?
Since it fills at the rate of 16 L/min, the slope of the function is 16.
Since there is initially 350 LIf , the y-intercept of the function is 350.
Therefore, the function is: V(t) = 16t + 350.
If the pond has a capacity of 1694 L: 1694 = 16t + 350
1344 = 16t
t = ...