After plotting the data where x equals 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 + 3. Use the model Jack created to predict the area of a polygon that has a side length of 3.

10

18

19

20

Question

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Mathematics

3 June, 12:35

After plotting the data where x equals 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 + 3. Use the model Jack created to predict the area of a polygon that has a side length of 3.

10

18

19

20

+1

Answers (1)

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Conrad Archer · Answer 1

We are given the model to approximate the are of the polygon to be

f (x) = x² + 2x + 3

where x is the length of the side

For a polygon with a side length of 3, x = 3

f (3) = 3² + 2 (3) + 3

f (3) = 18

The area is 18