Question

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?

Answer 1

the predicted population in 1990

Answer 2

Answer: The population in 1990 or the initial population.

Explanation:

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

`f(t) = 523(1.099)^t`

For t = 0,

The population is,

`f(0) = 523(1.099)^0`

`\implies f(0) = 523` ( Since,
`a^0 = 1` )

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.