SOLUTION: A town has a population of 3500 people at time t = 0. In each case, write an equation for the population P, of the town as a function of year t. a) the population size increases

Algebra.Com
Question 1116381: A town has a population of 3500 people at time t = 0. In each case, write an
equation for the population P, of the town as a function of year t.
a) the population size increases by 80 per year.
I believe this answer to be P=3500 +80t
b)The population size increases by 3.2 percent per year.
I believe this answer to be P=3500(1.032)^t
c) The population increases continuously at a rate of 2.65% per year.
I believe this answer to be P=3500e^0.0265t
d) Find the doubling time for each of the functions you found above:
I believe a is 30.6 years, b is 67.8 years, but I do not know how to find the doubling time of d.
Please help! Thank you

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
a is correct
b is also correct
c is correct
for d, with continuous
7000=3500e^(0.0265t)
2=e^(0.0265t)
ln2=0.0265t
0.693=0.0265t
t=26.25 years
-------
for d, with 3.2 per cent
2=1.032^t
ln both sides
ln 2=t ln (1.032)
divide both sides by ln (1.032)
t=22.0 years
------
for d, with an increase of 80 per year
doubles after 3500/80=43.75 years

RELATED QUESTIONS

In 2005, a certain town in la union has a population of 32400. Each year, the population... (answered by ikleyn)
in town whose population in 3500 a disease creates an epidemic. the number of people N... (answered by josmiceli)
HIGHLIGHT ANSWER PLEASE A town's population has been growing linearly. In 2003,... (answered by Theo,ikleyn)
THE POPULATION OF TWO TOWNS ARE CHANGING AT STEADY RATES. ONE TOWN HAS A POPULATION OF... (answered by ankor@dixie-net.com)
A.) Linear Growth A town has a fixed increase in population growth number of population... (answered by bucky)
The population of a small town has been gradually decreasing over the past number of... (answered by Theo)
A town's population has been growing linearly. In 2003 the population was 68,000. The... (answered by josgarithmetic,MathTherapy)
A mill in a town with a population of 650 closes and people begin to move away. Find a... (answered by josmiceli)
The population of a town has been growing, following the equation P=500t+3500, where t is (answered by Cromlix)