(Solved): A bacteria culture intially contains 100 ceils and groms at a rate proportional to its size. After ...

A bacteria culture intially contains 100 ceils and groms at a rate proportional to its size. After an hour the population has increased to 410 . (a) Find an expression for the number of bacteria after $t$ hourh. (Round the relative growth rate to four decimal places). $A(t)=$ (b) Find the number of bacteria after two hours. (Round your answer to the nearest whole number.) $x$ bacteria (C) Find the tate of growth aner two hours. (Round your anawer to four decimal places) $x$ bacteria per nour trier a names: (4) When will the poputation reoch 12,000 ? (Plound your answer to twe decimal places.) bours