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-The Population of Bacteria Culture Was 2000 at Noon

Multiple Choice

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-The population of bacteria culture was 2000 at noon, and was increasing at a rate of $10 \%$ per hour. The number can be found using the function
$$P ( t ) = 2,000 ( 1.1 ) ^ { t }$$
where $t$ is the number of hours past noon. Predict the population 11 hours later, at $11 \mathrm { PM }$ to the nearest whole number.

A) 24,200
B) 5,706
C) 3,706
D) 7,726