# Math Help - Exponential Growth

1. ## Exponential Growth

im not sure what this question means

A bacteria culture starts with 980 bacteria and grows at a rate propotional to its size. After 6 hours there are 5880 bacteria.

Find the population after t hours (function of t)

2. You must have seen ONE example?! Based on the title of your post, I suspect you already have at least SOME clue how it all will turn out.

If C(t) is the size of the culture at time t,

"grows at a rate propotional to its size" means $\frac{dC(t)}{dt} = k*C(t)$.

You must learn to solve that (It's a separable differential equation.) and use the given conditions to discern the required parameters.