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?

Respuesta :

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step 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 × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, f = i × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]

Or, f = 1000 × [tex](1+\dfrac{\textrm 15}{100})^{\textrm 6}[/tex]

Or, f = 1000 × [tex](1.15)^{6}[/tex]

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

Answer:

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

Step-by-step explanation:

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