The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is the best prediction of the population in the year 2014? 3500 in 2009

3500 (.022) = 77

3500 - 77 = 3423

3423 in 2010

3423 (.022) = 75.31

3423 - 75.31 = 3347.69

3347.69 in 2011

3347.69 (.022) = 73.65

3347.69 - 73.65 = 3274.04

3274.04 in 2012

3274.04 (.022) = 72.03

3274.04 - 72.03 = 3202.01

3202.01 in 2013

3202.01 (.022) = 70.44

3202.01 - 70.44 = 3131.57

3131.57 in 2014

Question

Mathematics

Alonso Castaneda

3 September, 12:41

The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is the best prediction of the population in the year 2014? 3500 in 2009

3500 (.022) = 77

3500 - 77 = 3423

3423 in 2010

3423 (.022) = 75.31

3423 - 75.31 = 3347.69

3347.69 in 2011

3347.69 (.022) = 73.65

3347.69 - 73.65 = 3274.04

3274.04 in 2012

3274.04 (.022) = 72.03

3274.04 - 72.03 = 3202.01

3202.01 in 2013

3202.01 (.022) = 70.44

3202.01 - 70.44 = 3131.57

3131.57 in 2014

+5

Answers (1)

Know the Answer?

Katelynn Gibbs · Answer 1

Given:

2009 : 3,500 population

decrease of 2.2% per year.

100% - 2.2% = 97.8%

2014 - 2009 = 5 years

3,500 * (0.978) ^5 = 3,500 * 0.89473 = 3131.57

The bird population in 2014 will be 3,131.57 or 3,132.