You need to get all answers correct before receiving credit. All answers need to be decimal expressions.
You are growing bacteria. From your initial experiments you know that these particular bacteria double the size of their population every three hours in the presence of unlimited resources. You start with a population of $1$ unit and you let them grow in an environment that allows a stable population of 500 units. You model the size of your population with a logistic curve. Accordingly, the size of your population in your chosen units after $x$ hours is given by $$f(x) = \frac{a}{1+be^{-rx}}$$ where
$a=$ ,
$b =$ ,
$r =$ ,
and the population after $24$ hours is
$f(24) =$ units.
After two days the population is
$f(48) =$ units.
Hint: First compute $r$, then $a$, and then $b$.