Question

Supose an amoeba divids into two amoebas one every hour.How long would it take for a single amoeba to become acolony of 4096 amoebas?
the key is 12 hours

Answer 1

so we start with one amoeba, then in 1 hour we have 2, 2 hours we have 4, so on and so forth. The sequence representing this is:
1, 2, 4, 8, 16,....
The formula representing this is:
\[2^{t}\]
where t is the number of hours that have passed.
so basically we want to know when:
\[2^t = 4096\]

Answer 2

th