Question

The number of N bacteria in a culture can be modeled through the continuous growth model. If the there were 100 bacteria initially and the value for k is 0.5, what will the population of the bacteria be in 10 hours, where t is the number of hours? A. 14,841 B. 148 C. 165 D. 22,026 E. 500

Answer 1

A. 14,841 PLATO

Answer 2

A. 14,841

Explanation:

We don't know what your "continuous growth model" is, or where k fits into it. On the assumption it is ...

... p(t) = 100e^(kt) . . . . t measured in hours

then we can evaluate p(10) as ...

... p(10) = 100e^(0.5·10) = 100e^5 ≈ 14,841