A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 8 hours?

B(t)=4*e^0.8t

A. 2407
B. 205,968
C. 602
D. 4,289,241

Question

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 8 hours?

B(t)=4*e^0.8t

  		A. 	2407
  		B. 	205,968
  		C. 	602
  		D. 	4,289,241

aaronq · Answer

Plug t=8 h into the formula 

$\sf B(t)=4*e^{0.8t}$

$\sf B(8)=4*e^{0.8*8}=4525.1816935371888104$

you might want to round it

aaronq · Answer

wait that doesnt match any of the answers. hold on

aaronq · Answer

i made a mistake when i used the calculator, it should be:  $\sf B(8)=2407.380$

zab505 · Answer

Wow thank you so much!

aaronq · Answer

no problem man

zab505 · Answer

Hey do you think you can help on this one?

aaronq · Answer

I think the have the same horizontal translation, both have a -2 x-translation.

zab505 · Answer

Thank you!

aaronq · Answer

no probs!