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Math·Advanced Math·Nonlinear functions

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An exponential model for the number of squirrels in a certain area estimates that there were 200 squirrels in the area in the year 2003, and that at the end of each 4-year period for the next 20 years, the number of squirrels in the area was 120% more than the number at the end of the previous 4-year period. Which of the following equations represents this model, where $N$ is the estimated number of squirrels in this area $t$ years after 2003, and $0\le t\le 20$?

A

$N=200(2.20{)}^{4t}$

B

$N=200(1.20{)}^{4t}$

C

$N=200(1.20{)}^{\frac{t}{4}}$

D

$N=200(2.20{)}^{\frac{t}{4}}$