Question

A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B(t) = 50 e2.5t

Answer 1

wht sign is there before "e2.5t"

Answer 2

\[B(t)=50\times e^{2.5t}\]

Answer 3

e^2.5t = 20

t= ln(20) / 2.5

Answer 4

set
\[B(t)=1000\] and solve for t via
\[1000=50e^{2.5t}\]
\[20=e^{2.5t}\]
\[\ln(20)=2.5t\]
\[t=\frac{\ln(20)}{2.5}\]

Answer 5

damn elecengineer beats me to the punch again!

Answer 6

hey satellite, can you help me