SOLUTION: three yeast cells are placed in a laboratory dish at 9:00 am. the number of yeast cells doubles in every 5 minutes period. the number of cells in the dish at 9:30 am the same day i

Question 237581: three yeast cells are placed in a laboratory dish at 9:00 am. the number of yeast cells doubles in every 5 minutes period. the number of cells in the dish at 9:30 am the same day is
a) 30 b) 64 c) 192 d) 256 e) 300
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
three yeast cells are placed in a laboratory dish at 9:00 am. the number of yeast cells doubles in every 5 minutes period. the number of cells in the dish at 9:30 am the same day is
a) 30 b) 64 c) 192 d) 256 e) 300
.
This is an "exponential growth" problem...apply :
A(t) = Pe^(rt)
.
For your problem, they give:
Let P (initial amount) = 3
then A(t) (amount at time t) = 2(3) = 6
r is growth ratio -- this is what we're looking for
t is 5 minutes
.
So,
A(t) = Pe^(rt)
6 = 3e^(5r)
Dividing both sides by 3:
2 = e^(5r)
ln 2 = 5r
ln(2)/5 = r
.
Finally, for t = 30 (9:30 - 9:00)
we have
A(t) = 3e^(ln(2)/5t)
A(30) = 3e^(ln(2)/5(30))
A(30) = 3e^(ln(2)(6))
A(30) = 3(64)
A(30) = 192 cells

RELATED QUESTIONS
Michael is growing two strains of yeast in the labratory. Strain A originally had 80... (answered by vleith)

Peter is growing two strains of yeast in the labratory. Strain A had originally had 80... (answered by stanbon)

A group of yeast cells doubles every 4 h. There is a population of 100 at 10 a.m. Write... (answered by josgarithmetic)

Help with exponential functions homework. A population of yeast cells can double in 2 h. (answered by josgarithmetic)

A culture of bacteria has 20 cells in it the number of cells doubles every 30 minutes.... (answered by stanbon)

A culture of yeast doubles in size every 20 minutes. The size of the culture is now N0.... (answered by stanbon)

The number of bacterial cells in a biology experiment doubles every hour. After 1 hour , (answered by Alan3354)

Population of a particular bacterial colony; i.e. the number of cells at time t (hours)... (answered by ikleyn)

Imagine that for a certain person, the number of cells in a tumor doubles every three... (answered by ewatrrr)