$\"\"$

\

Find how many bacteria were there at $\"\"$ P.M.

\

If an initial quantity $\"\"$ grove or decays at an exponential rate $\"\"$ or $\"\"$ , then the final amount $\"\"$ after a time $\"\"$ is given by the following formula $\"\"$ .

\

$\"\"$

\

Use the above formula to find number of bacteria at $\"\"$ P.M.

\

Since number of bacteria at $\"\"$ P.M. is $\"\"$ , $\"\"$ .

\

Time period between $\"\"$ P.M and $\"\"$ P.M. is $\"\"$ hours.

\

Number of bacteria at $\"\"$ P.M. is $\"\"$ , $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Find number of bacteria at $\"\"$ P.M.

\

Time period between $\"\"$ P.M and $\"\"$ P.M. is $\"\"$ hours.

\

Substitute corresponding values in the formula.

\

$\"\"$

\

$\"\"$ .

\

Number of bacteria at $\"\"$ P.M. is $\"\"$ .

\

Option H is the correct choice.

\

$\"\"$

\

Option H is the correct choice.