+0

# College Algebra #9

+1
152
2
+216

A population of animals is growing exponentially, and an ecologist has made the following table of the population size, in thousands, at the start of the given year.

Year 2007 2008 2009 2010 2011 2012
Population in thousands 5.240 5.450 5.668 5.865 6.131 6.376

Looking over the table, the ecologist realizes that one of the entries for population size is in error. Which entry is it, and what is the correct population? (Round your population answer to three decimal places.)

 Year Population in Thousands ______? ________________?
idenny  Mar 29, 2017
Sort:

#1
+79712
+2

We need to find the growth constant, k

5.450  = 5.240e^( k)

k  =  ln [ 5.450 / 5.240] ≈ .0393

The error occurs in 2010  [ year 3 ].....the value should be.....

5.240e^(.0393 * 3)    ≈ 5.896

CPhill  Mar 29, 2017
#2
+216
+2

I got the answer already, it was 5.894... But seriously CPhil thank you! You're like a father to me, because youre always there for me hahaha

idenny  Mar 29, 2017

### 19 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details