Question

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?

Answer 1

Quartic

Explanation:

Subdivided by the degre

Answer 2

Quartic

Explanation:

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

`\text{Time (years) \ \ \ \ 0 \ \ \ \ 0.5 \ \ \ \ 1 \ \ \ \ 1.5 \ \ \ \ 2 \ \ \ \ 2.5 \ \ \ \ 3 \ \ \ \ 3.5 \ \ \ \ 4}`

`\text{Population \ \ \ 100 \ \ \ 111 \ \ \ 144 \ \ \ 193 \ \ \ 252 \ \ \ 309\ \ \ 352\ \ \ 363 \ \ \ 324}`

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

`\text{Quartic is an algebraic equation or function of the fourth degree }`

The polynomial model of the above data is:

P(x) = -2x⁴ + 46x² + 100