Question

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

Answer 1

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:

$area=(side)^{2}$ or $x=(y)^{2}$

Hence model would be:

$side=\sqrt{area}$ or $y=\sqrt{x}$

Since, the area is:

x = 86.6

Substitute value of x in $y=\sqrt{x}$.

$y=\sqrt{86.6}$

$y=9.306$

The length of the side is 9.306 approximately .

Check:

Calculate the area if side = 9.306

$x=(9.306)^{2}$

$x=86.60$

Hence, the side length is 9.306 approximately .