A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 590. (a) Find an expression for the number of bacteria after t hours. P(t)

Step-by-step explanation:

Given that a bacteria culture initially contains 100 cells and grows at a rate proportional to its size.

i.e. P' = kP where k = constant of proportionality

We separate variables and solve this Differential equation.

When t =0 P(0) = A = 100

So equatin is

to find k

When t=1, P =590

So

answer: the correct one is a

step-by-step explanation:

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x