Two towns had a population of 12,000 in 1990. By 2000, thepopulation of town A had increased by ?13??% while the populationof town B had decreased by ?13??%. Assume these growth and decayrates continued.
a. Write two exponential population models A(T)and B(T) for towns A and B, respectively, where T is the number ofdecades since 1990.
A(T)=
12000*e0.12*T
B(T)=
12000*e?0.14*T
b. Write two new exponential models a(t) andb(t) for towns A and B, where t is the number of yearssince 1990.
Give the answers in the form C?at. Round the growth factor tofour decimal places.
a(t)=
12000*1.13t
b(t)=
12000*0.87t
c. Find A(2), B(2), a(20), and b(20) andexplain what you have found.
Round your answers to the nearest integer.
A(2)=
B(2)=
a(20)=
b(20)=
Each of these values represent the population
2 years after 199020 decades after 19902 decades after 1990
