Question

Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there are 3000 bacteria present initially and there are 5000 in 1 hour, how many bacteria will there be in 3.5 hours?     

Answer 1

We can use formula

we are given

P(1)=5000

we can plug it and solve for k

now, we can plug it back

and we get

now, we can plug t=3.5

so, we get

...........Answer