After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was Use the model Sam created to predict the side length of the square when the area is 14.

Answer :

Answer:

Side = 3.741

Step-by-step explanation:

Here on x axis area is plotted and on y axis the side of the square

Since in a square all sides are equal area = square of side

Hence model would be

side = square root of area

[tex]y=\sqrt{x}[/tex]

Using the above we can find any time side when area is given

Here area = x =14

Hence side

[tex]y=\sqrt{x}\\side =\sqrt{14} =3.741[/tex]

Verify:

Find area when side =3.741

Area = [tex]3.741^{2} =13.998=14[/tex]

Verified

Answer:

3

Step-by-step explanation:

Let 14=x

14+2 = 16

square root of 16 is 4

4-1 = 3

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