A bacteria culture starts with 140 bacteria and grows at a rate proportional to its size. After 5 hours there will be 700 bacteria.
Express the population after t hours as a function of t.
population:
I just don't really understand the wording and how it might look.
Thank you,
Any quantity which "grows at a rate proportional to its size" can be modelled exponentially as N = No x e^(kt)
where the variables are : N is the quantity and t is time.
No is the original quantity and k ic called the "Proportionality constant".
In your case your equation is N = 140 x e^(kt).
Now use the given fact (when t=5, N= 700) to find k.