Chapter 3.1, Problem 86PE

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level $L\left(x\right)$ (in ft), x days after January 1.

b. Write an equation for $L^{-1}\left(x\right)$ .

c. What does the inverse handier, represent in the context of this problem?

d. Evaluate $L^{-1}\left(1.9\right)$ and interpret its meaning in context.