After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the 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 86. 6

Respuesta :

Answer:

The side length is 9.306 approximately .

Step-by-step explanation:

Consider the provided information:

x axis represents the area and y axis represents the side of the square.

The are of square can be calculated as:

[tex]area=(side)^{2}[/tex] or [tex]x=(y)^{2}[/tex]

Hence model would be:

[tex]side=\sqrt{area}[/tex] or [tex]y=\sqrt{x}[/tex]

Since, the area is:

x = 86.6

Substitute value of x in [tex]y=\sqrt{x}[/tex].

[tex]y=\sqrt{86.6}[/tex]

[tex]y=9.306[/tex]

The length of the side is 9.306 approximately .

Check:

Calculate the area if side = 9.306

[tex]x=(9.306)^{2}[/tex]

[tex]x=86.60[/tex]

Hence, the side length is 9.306 approximately .

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