English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

The number of bacteria in a culture is given by the formula:
N=N[low 0] e^kt
where t is time in hours.

In a certain culture, the bacteria increased from 2000 to 7000 in 6 hours. What is the percentage rate of increase?

2007-08-14 18:12:11 · 2 answers · asked by th3one101 2 in Science & Mathematics Mathematics

2 answers

From the formula,
N = N[0]e^(kt)
7000 = 2000e^(6k)
7000/2000 = 7/2 = e^(6k)
ln(7/2) = 6k
k = ln(7/2) / 6 = .2088

2007-08-14 18:22:15 · answer #1 · answered by Anonymous · 0 1

The solution by mj is correct if the problem was to find the constant k. Did you invent the terminology "percentage rate of increase"?

2007-08-15 10:04:31 · answer #2 · answered by Tony 7 · 0 0

fedest.com, questions and answers