Exponential Decay?

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Suppose that each cell of a certain bacteria culture divides into two cells every 13 minutes. The initial population of the culture is 55 cells.

Find the expression of the population, P(t), after t hours

2007-10-16 13:25:56 · 2 answers · asked by Lauren 1 in Science & Mathematics ➔ Mathematics

2 answers

The formula is
P(t)=Pe^(rt)

You know what P was... initial number
e is the base of natural log, the constant
rate is 13 minutes...

One thing to be careful is, you are asked to define P(t) in hours. Your rate is given in minutes.

Also notice, you are talking about exponential GROWTH, not decay. Watch the sign...!

2007-10-16 13:30:59 · answer #1 · answered by tkquestion 7 · 0⤊ 0⤋

p=4.615(t)+55

2007-10-16 20:28:57 · answer #2 · answered by i_heart_kasey_kahne9 3 · 0⤊ 0⤋