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*e^0.5t
I got 400 but idk if this is write i think i am missing something,.. i did 1000/50=20
20=e^0.5
In(20)=0.5t

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*e^0.5t
I got 400 but idk if this is write i think i am missing something,.. i did 1000/50=20
20=e^0.5
In(20)=0.5t

anonymous · Answer

right*

anonymous · Answer

Looks right so far. Last step is to take ln(20) and divide by .5

pfenn1 · Answer

I got 6....what did you get for ln(20)=

anonymous · Answer

I mean, your steps are right. The answer is not 400 though. Not sure how you'd be getting that.

pfenn1 · Answer

I think you made a error....pressed the wrong button the calculator perhaps?

anonymous · Answer

Idk, im lost.

anonymous · Answer

my calculator said 400. I double checked too.

anonymous · Answer

What does you calculator give you for ln(20)?

pfenn1 · Answer

Did you the natural logarithm or base 10 logarithm?

anonymous · Answer

2.995732274

anonymous · Answer

I checked that, pfenn. It wouldn't give her 400...

anonymous · Answer

Yes. That's right, Val.

anonymous · Answer

So now your equation is
2.995732274 = 0.5t

anonymous · Answer

okay now i get 6,.. when i divide In(20)/0.5=5.991464547

anonymous · Answer

Very good.

pfenn1 · Answer

Yeah @SmoothMath I realized that after I commented.

anonymous · Answer

so i dont have to do anything else to it!

anonymous · Answer

Nope. Perfect.