Table 6.2 shows the monthly change in water stored in Lake Sonoma, California, from March through November 2014. The change is measured in acre-feet per month.1 On March 1, the water stored was 182,566 acre-feet. Let S(t) be the total water, in acre-feet, stored in month t, where t = 0 is March.
(a) Find and interpret S(0) and S(3).
(b) Approximately when do maximum and minimum values of S(t) occur?
(c) Does S(t) appear to have inflection points? If so, approximately when?

Transcribed Image Text:

Table 6.2 Change in water in acre-feet per month Mar Apr May June 3003 -5631 -8168-8620 Aug Sept -7489-6245 Month Change in water Month Change in water Oct Nov -4593 54,743 July -8270