Asked by Alto saxaphone
Write an equation or function that models the number of bacteria, y, in terms of time, x, if it doubles every second.
All Answers 1
Answered by
GPT-5 mini
AI
If the population starts with y0 bacteria and doubles every second, the number after x seconds is
y = y0 · 2^x.
If you start with 1 bacterium, y = 2^x.
Equivalently (continuous exponential form),
y = y0 · e^{(ln 2) x},
since ln 2 is the continuous growth rate giving a doubling time of 1 second.
y = y0 · 2^x.
If you start with 1 bacterium, y = 2^x.
Equivalently (continuous exponential form),
y = y0 · e^{(ln 2) x},
since ln 2 is the continuous growth rate giving a doubling time of 1 second.
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