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

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

saifoo.khan · Answer

wht sign is there before "e2.5t"

anonymous · Answer

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

anonymous · Answer

e^2.5t = 20

t= ln(20) / 2.5

anonymous · Answer

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

anonymous · Answer

damn elecengineer beats me to the punch again!

anonymous · Answer

hey satellite, can you help me