Question

A bacteria colony started with 2 bacteria. The colony is growing exponentially at 10% per hour. How long will it take to have 1 million bacteria?

Answer 1

the time taken for having 1 million bacteria is 137.68 hours

Explanation:

The computation is shown below:

y = 2 × (1.10)^x

1,000,000 = 2 × (1.10)^x

500,000 = (1.10)^x

x = log (500,000) ÷ log (1.10)

= 137.68 hours

hence the time taken for having 1 million bacteria is 137.68 hours