The number of bacteria in a growth medium is expected to increase by …

Question

Prompt

The number of bacteria in a growth medium is expected to increase by

170%

every

2

hours during a period of observation. The number of bacteria in the growth medium was estimated to be

5, 000

when the period of observation began. Which function

P

gives the expected number of bacteria in this growth medium

t

hours after the period of observation began?

P (t) = 5, 000 (1.70)^{\frac{t}{2}}

P (t) = 5, 000 (1.70)^{2 t}

P (t) = 5, 000 (2.70)^{\frac{t}{2}}

P (t) = 5, 000 (2.70)^{2 t}