Question

*HELLLLPPP*
A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many hours will it take for the population to grow to 500? Round to the nearest integer. B(t) = 10* e^t

Answer 1

B(t)=500
Plug in to the equation:
500=10e^t
e^t = 50
lne^t = ln (50), which cancels out the e^ because lne = 1
t= ln( 50), plug in calculator to find answer
3.912 hr round to nearest 100th decimal places.

Answer 2

thank you so much! so, the answer would be 4 hours?

Answer 3

Yes ,if rounded to nearest whole number c:

Answer 4

Thank you!!!! :)