Question

the population of a colony of bacteria is decaying exponentially according to the function below, where t is the time in minutes how many minutes will it take for the population of the conoly to drop to 50 ......... b(t) 2000xe^-0.3t

Answer 1

50%?

Answer 2

no it just says 50

Answer 3

\[b(t)=2000e^{-0.3t}..........50=2000e^{-0.3t}\]

Answer 4

divide both sides by 2000, then take the LN of both sides to bring down the exponent, this yields:\[\ln(\frac{50}{2000})=-0.3t\]

Answer 5

t=12.29 minutes

Answer 6

oh i see thank you!