Question

After plotting the data where x represents the length of the side of a polygon, and f(x) represents the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, f(x) = x2 + 2x + 5. Use the model Jack created to predict the area of a polygon that has a side length of 3. 10 18 19 20

Answer 1

See the attachment

Explanation:

It is convenient to use a spreadsheet or graphing calculator for this.

Answer 2

Option d. 20
`unit^(2)`

Explanation:

After plotting data determined the appropriate model to approximate the area of polygon is

`f(x)=x^(2)+2x+5`, here x = length of the side of a polygon

We have to find the area of a polygon that has a side length = 3

`f(3)=3^(2)+2*3+5`

= 9 + 6 + 5

= 15 + 5 = 20

Option d. 20
`unit^(2)` is the answer.