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Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) =
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 =
3 = 1 +
r = 100×(3 - 1)
r = 200
So the function is, f(x) =
a). Population after 4 hours,
f(4) =
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) =
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) =
= Infinite