Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 43: 30

$V(t) = 2250+250~sin(\frac{\pi~t}{2})$

The average volume is 2250 mL. The amplitude of the graph is 250 mL. The period is 4 seconds. We can use these values to write a function that models the depth: $V(t) = 2250+250~sin[\frac{2\pi}{4}~t]$ $V(t) = 2250+250~sin(\frac{\pi~t}{2})$