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20-07-2016
Mathematics

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A bacterial culture is known to grow at a rate proportional to the amount present after 1 hour, 1000 strands of the bacteria are observed in the culture, and after 4 hours, 3000 strands. Find the number of strands of bacteria originally in the culture.

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meerkat18 meerkat18

20-07-2016

This type of situation applies first order type of equation. In this case, the equation is ln( A0/A1) = kt when A1 is 1000, t is 1 hour. that is ln (A0/1000) = k the other condition is represented by ln (A0/3000) = 4k The two equations tell that Ao is equal to 694 strands.

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