The population of bacteria in a certain culture can be modeled by the function P(t)=10000(1.03)^t. What is the initial population of bacteria in the culture?

Respuesta :

Answer: 10000

Step-by-step explanation:

Here, the function that shows the population of bacteria after t years is,

[tex]f(t) = 10000(1.03)^t[/tex]

Initially, time = 0

That is, t = 0 year,

Thus, for 0 year the number of bacteria,

⇒ [tex]f(0) = 10000(1.03)^0 = 10000(1) = 10000[/tex]

Hence, the initial population of the bacteria is 10000.

Answer:

The initial population of bacteria in the culture is 10000

Step-by-step explanation:

The initial population simply means , the population at t =0. I am assuming t is the time variable. We simply substitute t =0 in the right hand side of the equation to obtain P(0) = 10000

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