amoeba reproduce by splitting in half every 24 hours how many will there be after (a) 8 days and (b) 16 days.

Question

anonymous · Answer

someone answer my question

kira_yamato · Answer

N = 2^t
(a) N = 2^8 = 256
(b) N = 2^16 = 65536

alfie · Answer

$$2^8= 256$$

$$2^16 = 65 536$$

anonymous · Answer

how did you guys know to use exponents,

alfie · Answer

You just have to plug in the number of days in the exponent, "every 24hours" means it splits into two amoebas each day, so if, for example, you would have liked the number of amoebas after four days you would have done:

$$2^4$$

unklerhaukus · Answer

The exponential growth formula

$$N(t) = C e^{(t/d)}$$

where
N(t) is the number at time t
C is the initial number
and 
d is the doubling period

so in this case
C = 1 amoeba
d =  1 day