1. The Arizona Fish and Game department has a lottery for elktags in an effort to control the population of elk in NorthernArizona. There are two proposed methods of deciding how many tagsto auction:
A) Auction 6 % of the current population each year.
B) Auction 7500 tags per year regardless of the population.
Clearly one method is a better policy since it monitors the currentpopulation.
However; ignoring the birth rate of elk, decide if policy A) and B)lead to exponential or linear decay in the population of elk.
Write EXP for exponential and LINfor linear growth.. Answer for A and B
2. Let P=f(t)=800(1.027)tP=f(t)=800(1.027)t be thepopulation of a community in year tt.(a) Evaluate f(0)=f(0)= (b)Evaluate f(10)=f(10)= (c) Which of these statements correctlyexplains the practical meaning of the value you found forf(10)f(10) in part (b)? (select all that apply if more than one iscorrect)
3. The rat population in a major metropolitan city is given bythe formula n(t)=43e0.015tn(t)=43e0.015twhere tt is measured inyears since 1993 and nn is measured in millions. (a) What was therat population in 1993? (b) What is the rat population going to bein the year 2002?. answer for A and B
4. If 6900 dollars is invested at an interest rate of 10 percentper year, compounded semiannually, find the valueof the investment after the given number of years.
(a) 5 years:
Your answer is
(b) 10 years:
Your answer is
(c) 15 years:
Your answer is
5. A city had a population of 5,295 at the beginingof 1948 and has been growing at 7.4% per year since then.
(a) Find the size of the city at the beginning of 1999.
Answer:
(b) During what year will the population of the city reach13,195,713 ? (Plug answer into a calculator and round.)
Answer:
6. If 4000 dollars is invested in a bank account at an interestrate of 7 percent per year, compounded continuously. How many yearswill it take for your balance to reach 20000 dollars?
7. Find the doubling time for a city whose population is growingby 15% per year.
The doubling time is years.
