Question 976726

We are told that "t is measured in years since 1992". This means t = 0 corresponds to 1992. Plug in t = 0.


n(t)= 79*e^(0.015*t)
n(0)= 79*e^(0.015*0)
n(0)= 79*e^(0)
n(0)= 79*1
n(0)= 79


The population in 1992 is 79 million rats


-------------------------------------------------------


2009 - 1992 = 17


The value t = 17 corresponds to the year 2009. Plug in t = 17 to figure out the approximate population in 2009.


n(t)= 79*e^(0.015*t)
n(17)= 79*e^(0.015*17)
n(17)= 79*e^(0.255)
n(17)= 79*1.290461620873
n(17)= 101.946468048967
n(17)= 102


The population in 2009 is 102 million rats (approximate)

------------------------------------------------------------------------------------------------------------------------


If you need more one-on-one help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).


Alternatively, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.


Jim

------------------------------------------------------------------------------------------------------------------------