The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009.

Which answer is the best prediction of the population in the year 2014?

A. 3541

B. 3592

C. 3643

D. 3747

Question

The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009.

Which answer is the best prediction of the population in the year 2014?

A. 3541

B. 3592

C. 3643

D. 3747

yuii · Answer

I think it's D.

sooobored · Answer

i got something different, 
could you show your steps?

yuii · Answer

What was the answer you got?

yuii · Answer

Oh wait, is it A?

sooobored · Answer

stepsssss

from 2009 to 2014, this is equivalent to 5 years passing

the rate is decreasing at 1.4% per year

meaning if you wanted to multiply the rate to the initial population of 3800, you would need to multiply by (1-.014)

applying this to an exponential function

T(x)= 3800 (0.986)^x

and determining the population at x=5


T(5)= 3800 (0.986)^5

yuii · Answer

What's the answer then? 
I'm confused.

sooobored · Answer

T(5) is your answer if you punch it into a calculator...