Question

A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria exist in the culture at the end of the 12th hour?

61,440

782,580

7,971,615

23,914,845

Answer 1

\[2=e ^{k(1)}\]

Answer 2

\[\ln 2=k \ln e, k=.693\]

Answer 3

\[A _{t}=15e ^{.693t}\]

Answer 4

\[A=15e ^{.693(12)}=61,331\]

Answer 5

\[15\times2^{12}=\]