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A colony of 200 bacterial cells is placed in a petri dish. After 5 hours, the bacteriologist finds 1,250 bacterial cells in the dish and assumes that the bacteria are growing at an exponential rate. In such a case, what is the growth constant associated with this colony of cells?

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Question:

A
0.37

explanation

1212Use the general form of the exponential equation to represent the bacterial growth: , where Q is the population at time *t*, is the initial population, and k is the growth constant.

Substitute the given values into the equation and solve for k:

, which gives

, and taking the natural log of both sides

, and isolating k

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