contestada

The deer population in the united states can be predicted by the expressikn 523(1.099)t where t is the number of years since 1990 . what does the value 523 represent?

Respuesta :

the predicted population in 1990

Answer: The population in 1990 or the initial population.

Step-by-step explanation:

Here, the function that shows the population after t years since 1990,

[tex]f(t) = 523(1.099)^t[/tex]

For t = 0,

The population is,

[tex]f(0) = 523(1.099)^0[/tex]

[tex]\implies f(0) = 523[/tex]                      ( Since, [tex]a^0 = 1[/tex]  )

Since, the population is estimated from 1990,

Thus, t = 0 represents the the year 1990,

⇒ f(0) represents the population in 1990,

⇒ The population in 1990 = 523.

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