Question

The growth of bacteria is modeled as P = P0ert. In a sample culture, the bacteria grows at a rate of 6 percent per minute. If the initial count in the sample is 1,000, how many bacteria will there be after five minutes? (Consider e = 2.718.)

A) 1,005
B) 1,030
C) 1,350
D) 2,350
E) 20,079

Answer 1

c is the answer

Explanation:

Answer 2

Initial number of Bacteria = Po = 1000
Growth rate = r = 6% = 0.06
We want to find the number of Bacteria after 5 minutes.

Using the given equation, we can write:


`P= P_(o)e^(rt) \\ \\ P=1000(2.718)^(0.06*5) \\ \\ P=1000(2.718)^(0.3) \\ \\ P=1350`

Rounding of to nearest integer, the number of Bacteria after 5 minutes will be 1350. So option C gives the correct answer