# Hard SAT Math Question 96 — Video Explanation | 1600.now

Source: https://1600.now/hard/96

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96

$P(t) = (116{,}000)(2.23)^{t/3}$  
A researcher is studying the growth of an Escherichia coli bacteria culture. The given function $P(t)$ models the population of the culture, in Colony Forming Units (CFUs), $t$ hours after the study begins. Which statement is the best interpretation of $(2.23)^{t/3}$?

A

Every $20$ minutes, the population increases by $142,680$ CFUs.

B

Every $20$ minutes, the population increases by $123\%$.

C

Every $3$ hours, the population increases by $142,680$ CFUs.

D

Every $3$ hours, the population increases by $123\%$.