A bacteria culture starts with 300 bacteria and grows at a rate propotional to its

T

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P=P(i)*R^(t/period) P=Population, P(i)=initial Population, R=Rate of growth

(a) P=300*3^(t/3hours)

(b) P(4)=300*3^(4/3)=1298 bacteria

(c) 1910=300*3^(t/3hours) -- solve for t

191/30=3^(t/3hours)

log(191/30)/log(3)=t/3hours

1.684922=t/3hours

t=5.05477 hours
 
P=P(i)*R^(t/period) P=Population, P(i)=initial Population, R=Rate of growth

(a) P=300*3^(t/3hours)

(b) P(4)=300*3^(4/3)=1298 bacteria

(c) 1910=300*3^(t/3hours) -- solve for t

191/30=3^(t/3hours)

log(191/30)/log(3)=t/3hours

1.684922=t/3hours

t=5.05477 hours
 
size.After 3 hours there ar? A bacteria culture starts with 300 bacteria and grows at a rate propotional to its size.After 3 hours there are 900 bacteria.

(a) Find the population after t hours
y(t) = _____?______

(b) Find the population after 4 hours.
y(4) = ____?____

(c) When will the population reach 1910 ?
T = ____?____
 
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