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Math·Advanced Math·Nonlinear functions

hard

In a certain region, the population of pheasants (a type of bird) is estimated each year by counting the number of pheasants observed along certain roads. From 1990 to 2005, the number of pheasants counted per mile of road increased by an average of 3.4% each year compared to the number counted per mile of road the previous year. Based on this average, if 3.22 pheasants per mile of road were counted in the region in 1990, which of the following choices best approximates the number of pheasants counted per mile of road in 2005?

A

$1.034(0.966{)}^{15}$

B

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

C

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

D

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