Name: SAT Math Help & School Math Mastery
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#34893

applications

functions

exponential

hard

90 sec

A certain type of bacteria doubles its population every 3 hours. If an initial population is 200 bacteria, which of the following functions $P (t)$ models the population of bacteria after $t$ hours?

A.

$P (t) = 200 (2)^{t}$

B.

$P (t) = 200 (2)^{3 t}$

C.

$P (t) = 200 (2)^{t /3}$

D.

$P (t) = 200 (3)^{t /2}$