Question

A bacteria culture grows with constant relative growth rate. The bacteria count was 2560 after 4 hours and 163840 after 8 hours.

1.Find the relative growth rate (the constant of proportionality).

Answer 1

In order to find the relative growth rate of a bacterial culture, we can use the formula (ln(N2) - ln(N1)) / (t2 - t1). By plugging in the given values, we find that the relative growth rate is approximately 9.57.

Step-by-step explanation:

To find the relative growth rate, we can use the formula:

Relative Growth Rate = (ln(N2) - ln(N1)) / (t2 - t1)

where N2 and N1 are the final and initial bacterial counts, and t2 and t1 are the corresponding time values.

Plugging in the numbers from the question, we get:

(ln(163840) - ln(2560)) / (8 - 4) = 9.57

Therefore, the relative growth rate is approximately 9.57.