Question

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?

Answer 1

A, y = 1,000(1.15)6; 2,313 bacteria

Explanation:

Edge

Answer 2

The population of bacteria after 6 days is 2,313.06

Explanation:

Given as :

The initial population of bacteria = i = 1,000 bacteria

The growth rate of bacteria per day = 15%

Let The population of bacteria after 6 days = f

The time period of growth = 6 days

Now, According to question

The population of bacteria after 6 days = initial population ×
`(1+(\textrm rate)/(100))^(\textrm time)`

Or, f = i ×
`(1+(\textrm r)/(100))^(\textrm t)`

Or, f = 1000 ×
`(1+(\textrm 15)/(100))^(\textrm 6)`

Or, f = 1000 ×
`(1.15)^(6)`

Or, f = 1000 × 2.31306

∴ f = 2,313.06

So,The population of bacteria after 6 days = f = 2,313.06

Hence,The population of bacteria after 6 days is 2,313.06 Answer