Question

A graduate student is studying bacteria known to have a growth rate of 10% per day. If the population of a bacterial sample is currently 31,537 bacteria, then how many bacteria will there be in 13 days?

Answer 1

Population of bacteria after 13 days is 72,535.1

Explanation:

Data :

Bacteria population = 31,537

Growth rate = 10%

First find 10% of 31,54l37

( 31,537×10)÷100 = 3,153.7

For 13 days

3,153.7 × 13 = 40,998.1

Now add them

31,537 + 40,998.1 = 72,535.1

Answer 2

The formula for exponential growth is :

Start value(1 + rate)^time

Using the information in the problem:

31,537(1+ 0.10)^13 = 108,874.28

Round off to 108,874.