Question

2. Scientists measure a bacteria population and find that it is 20,000. Four days

later, they find that the population has doubled. Which function f could describe
the bacteria population d days after the scientists first measured it, assuming it
grows exponentially?

Answer 1

P(t) = 20,000 * e^0.173287t

Explanation:

P(t) = Po * e^k*t

Po = 20,000

t = 4

P(t) = 40,000

40,000 = 20,000 * e^4k

2 = e^4k

ln 2 = ln e^4k

ln 2 = 4k * ln e

ln 2 = 4k

0.173287 = k