Question

A bacteria culture starts with 900 900 bacteria and grows at an exponential rate. After 4 4 hours there will be 3600 3600 bacteria. Give your answer accurate to at least 4 decimal places.

Answer 1

R = 41.42% (Approx)

Explanation:

Given:

Current bacteria P = 900

Future bacteria A = 3,600

Amount of period = 4 hour

Find:

Growth rate r

Computation:

A = p[1+r]ⁿ

3,600 = 900[1+r]⁴

4 = [1+r]⁴

1.4142 = 1+r

r = 0.4142

R = 41.42% (Approx)