SOLUTION: can someone help me with this problem: The population growth of an animal species is described by F(t) = 500 + 90 log3 (2t + 1) where t is measured in months. Find the populati

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone help me with this problem: The population growth of an animal species is described by F(t) = 500 + 90 log3 (2t + 1) where t is measured in months. Find the populati      Log On


   

Question 164144: can someone help me with this problem:
The population growth of an animal species is described by F(t) = 500 + 90 log3 (2t + 1) where t is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
a. 860
b. 3915
c. 7790
d. 440
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
F(t) = 500 + 90 * log3(2t + 1)

for t = 40
F(40) = 500 + 90*log3(2*40 + 1)
= 500 + 90 * log3(80 + 1)
= 500 + 90 * log3(81)
= 500 + 90 * log3(3^4)
= 500 + 90 * 4 * log3(3)
= 500 + 90 * 4 * 1
= 500 + 360
= 860 (a)