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Math·Advanced Math·Nonlinear functions

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In a certain region, the population of Phasianus colchicus, a type of bird, is estimated each year by counting the number of these birds observed along certain roads in the region. On average, each year from 1990 to 2005 the number of these birds counted per mile of road increased by $3.4\%$ of the number of these birds counted per mile of road the previous year. Based on this average, if there were $3.22$ P. colchicus counted per mile of road in this region in 1990, which of the following best approximates the number of P. colchicus counted per mile of road in 2005?

A

$3.22(0.966{)}^{15}$

B

$3.22(1.034{)}^{15}$

C

$3.22(1+(0.034)(15))$

D

$3.22+(0.034)(15)$