SOLUTION: The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years). At t=2 years, the town has 1500 people. Approximately by how many pe

Algebra ->  Finance -> SOLUTION: The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years). At t=2 years, the town has 1500 people. Approximately by how many pe      Log On


   



Question 1200292: The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years). At t=2 years, the town has 1500 people. Approximately by how many people do the population grow between t=2 and t=5? What is the town’s population at t=5 year?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!

Nobody seems to want this, here my effort, for what its worth, I don't know
:
The population of a town grows at a rate of e%5E%281.2t%29+-+2t people per year (where t is the number of years).
At t=2 years, the town has 1500 people.
f%28t-2%29+=+e%5E%281.2t%29+-+2t+%2B+1500
Approximately by how many people do the population grow between t=2 and t=5?
t=2, 1500, t=5, 1900. 1900 - 1500 = 400 increase from yr 2 to yr 5
What is the town’s population at t=5 year?
Approx 1900 people

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years).
At t=2 years, the town has 1500 people. Approximately by how many people do the population grow
between t=2 and t=5? What is the town’s population at t=5 year?
~~~~~~~~~~~~~~~~~~~~


My personal opinion is that this problem is worded and posed incorrectly.

More concretely, it is a soup of words, that are used incorrectly.


It is why I did not touch it and do not want to touch it.


    If to read it literally, then it requires to solve a differential equation


        %28dp%29%2F%28dt%29 = e%5E%281.2t%29+-+2t,


    where "p" is the population.



    But in this case,  the expression  e%5E%281.2t%29+-+2t  is not  " the rate per year " : it is  simply  " the rate "

    or, if to be precisely accurate, " the instantaneous rate ".