A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number.

Question

amistre64 · Answer

i believe bacteria follow the continuous model

Pe^(rt)

amistre64 · Answer

the rate here is what important, or rather what is missing

A = Pe^rt

A/P = e^rt

ln(A/P) = rt

ln(A/P)/t = r would be the general formula; and just fill in the specifics

anonymous · Answer

Idk how :(((

amistre64 · Answer

what part of it cant you fill in?

anonymous · Answer

I am very unsuccessful when it comes to forming an equation out of a word problem in general.

amistre64 · Answer

i used the convention for finances; perhaps we could rename that parts for you....

anonymous · Answer

All I know that this is exponential growth, and I have no clue how do do anything.

amistre64 · Answer

P = starting amount; lets call it "Sa"

A = ending amount; lets call it "Ea"

rate = rate, and time = time so those can stay the same name

ln(Ea/Sa)/t = r would be a decent translation

amistre64 · Answer

What are our stated values then for  Sa, Ea, r, and t?

anonymous · Answer

6000*(1.2)^(19/3) = 19039

anonymous · Answer

A culture started with 2,000 bacteria. After 4 hours, it grew to 2,200 bacteria. Predict how many bacteria will be present after 9 hours.

amistre64 · Answer

thats not what you have posted above:

"A culture started with 6,000 bacteria. After 3 hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours"

anonymous · Answer

I know, the next question was the same problem with different numbers. :P

anonymous · Answer

2000*(1.1)^(9/4)= 2478

amistre64 · Answer

that is why the process is more important to know that any answers to it

amistre64 · Answer

the process never changes; just the numbers you apply to it

anonymous · Answer

amistre can you help me with exponential decay? PLEASE <3

anonymous · Answer

Sometimes there are things going on that others on the outside can't understand, I'm sorry amistre64, you've helped me a great deal with a lot of things, but there are new personal things going on that require me to finish as quickly as possible. I'm not trying to be rude, sorry if I am, but there really is a reason for why answers would help me now than the equations. Sounds ludicrous, I know and understand, but please trust me (even though I'm a stranger).

anonymous · Answer

I've worked very hard to get where I am though.

amistre64 · Answer

ill trust you :)  and i wish you all the luck

anonymous · Answer

Thank you.