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The bird population on an island is declining at a rate of 1.7% per year. The population was 4600 in the year 2009. Which answer is the best prediction of the population in the year 2015?

4080

4010

4150

4120

Verified Answer :

metchelle

Here is the answer: 
A reduction of 1.7% will mean that 98.3% will remain. 
so, reduction factor of 0.983/year 
=> A(t) = A(0) x (0.983)^t 
Then, after 6 years we have: 
A(6) = 4600 x (0.983)⁶ => 4150 
Therefore, the answer for this would be the third option. Hope this helps.