Question

Streptococcus pneumoniae has a generation time of 30 mins. If you begin your culture at 9am with a single cell, how many cell will be present at noon?

Answer 1

Define noon, 12:01 pm?

Answer 2

1200

Answer 3

It multiplies, at 9:30 there are two. Then at ten they both have split in two so then you have four.

Answer 4

So what would you have at 12?

Answer 5

10:30=8
11:00=16
11:30=32
12:00=64

Answer 6

Hope this is helpful!

Answer 7

Is everyone orange from ur perspective?

Answer 8

288?

Answer 9

\[
\huge EXPONENTIAL~GROWTH \\
\sf \huge y=y_0e^{kt} \\
where: \\
\large y_0: initial~amount\\
\large k: constant~of~proportionality \\
\large t:time\\
\large y:ending~amount \\
\]

EXAMPLE:
e. coli is growing in your sink and doubles every 5 minutes. Assuming that it only started with 1 bacterium , how many bacteria could be present after 96 minutes?

\(
\huge y= y_0 e^{kt} \sf \large find~k~first \\
\huge \color {red}{2} = \color{red}{1}e^{k\times \color{red}{5}} \\
\huge ln 2 = lne^{5k} \\
\huge \frac{ln2}{5} = k \\
\huge .0139 = k ~ \large then ~use~the original~formula \\
\huge y = 1 \times e^{0.139 \times 96}
\)