Initially, one student had the flu.
The number of students who get the flu doubles every day.
Let time ($x$) be the number of days after day zero ($x=0$).
Complete the table for the number of students with the flu, $B$, on day $x$.
$x$
$0$
$1$
$2$
$3$
$4$
$5$
$6$
$7$
$B\left(x\right)$
Fill in the table with your values.
Find a model for $B\left(x\right)$ and enter it in Desmos above.$\qquad B\left(x\right)=$
Find the number of bacteria (in thousands) in the sample 4.5 hours after the initial time. Enter $x=4.5$ in Desmos and find the intersection. Give your answer to 3 decimal places.
Find $x$ when the number of bacteria in the sample reaches 100,000. Enter $y=100$ in Desmos and find the intersection. Give your answer to 3 decimal places.