One hundred deer were released into a wildlife preserve. The population of deer over a certain number of years is shown.


What degree polynomial could be used to model these data?

Respuesta :

Answer:

Quartic

Step-by-step explanation:

The missing dataset showing the population of deer is shown below:

[tex]\text{Time (years) \ \ \ \ 0 \ \ \ \ 0.5 \ \ \ \ 1 \ \ \ \ 1.5 \ \ \ \ 2 \ \ \ \ 2.5 \ \ \ \ 3 \ \ \ \ 3.5 \ \ \ \ 4}[/tex]

[tex]\text{Population \ \ \ 100 \ \ \ 111 \ \ \ 144 \ \ \ 193 \ \ \ 252 \ \ \ 309\ \ \ 352\ \ \ 363 \ \ \ 324}[/tex]

The degree of polynomial best suitable to model the above dataset is Quartic

[tex]\text{Quartic is an algebraic equation or function of the fourth degree }[/tex]

The polynomial model of the above data is:

P(x) = -2x⁴ + 46x² + 100

Answer:

Quartic

Step-by-step explanation:

Subdivided by the degre