Discussion
If A' growth rate of number of bacteria at any time t is proportional to number present at any time t than A'
Answer: A
"Proportional to the number present" translates directly into a constant of proportionality times \( A \):
\[ A' = \frac{dA}{dt} = cA \]
This is the exponential growth law, whose solution is \( A(t) = A_{0}e^{ct} \). The same equation governs radioactive decay, with \( c \) negative.
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