Question

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

Answer 1

64 bacteria

Answer 2

@Isaiah.Feynman what do you think

Answer 3

no wait is 32

Answer 4

There is a basic formula for exponenetial growth I found on wikipedia.

Answer 5

1st h = 4 * 2 = 8
2nd h = 8 * 2 = 16
.... so on, just times 2

Answer 6

\[x(t)=a \times b^{\frac{ \tau }{ t }}\]

Answer 7

Use that formula.

Answer 8

how do i use it

Answer 9

Okay wait, I noticed I made a mistake the exponent is t/tau, NOT tau/t.

Answer 10

ok
so what do i plug in them

Answer 11

t=8hours (convert to minutes!), tau is 1 hour(convert to minutes!), b=2( the bacteria DOUBLES), and a=4

Answer 12

1024? right?

Answer 13

I didn't calculate it, but should be right. Who would make a mistake with such easy formula