Suppose there are $70$ bacteria in a Petri dish at start time.

Eight hours later, there are $350$ bacteria in the dish.

$1.)$ Express the number of bacteria, $P,$ as a function of $t$ hours passed.

Note: Round the growth rate to $4$ dec. places.

$P(t)=$

$2.)$ Use the model from part a to determine the number of bacteria, rounded to a whole number, in the

dish after $14$ hours: