# Algebra and Trigonometry and Their Applications

#### Math 148 Autumn Quarter, 2001

**Instructor:** *Sergei Chmutov*

Bonus problem. Wildlife
Management

A herd of 122 white-tailed deer is introduced to a coastal island
where there had been no deer before. Their population is predicted
to increase according to the formula:

where is the number of deer expected in the heard after
years.

(A) How many deer will be presented after 3 years? After 7 years?

(B) How many years will it take for heard to grow to 150 deer?
Find the explicit formula for the number of years using
logarithms. Compute the approximate number of years from that
formula using calculator (round answer to nearest integer).

(C) Does approach a limiting value as increases without
bound? Explain.