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#14252

functions

exponential

applications

hard

120 sec

The number of bacteria $N$ in a culture $m$ months after an observation began is given by the function $N (m) = 250000 (1.10)^{m}$ . Which of the following functions best models the number of bacteria $B$ in the culture $y$ years after the observation began?

A.

$B (y) = 250000 (1.10)^{y /12}$

B.

$B (y) = 250000 (\frac{1.10}{12})^{y}$

C.

$B (y) = 250000 (1.10)^{12 y}$

D.

$B (y) = 250000 (1.10)^{\frac{y}{12}}$