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

The side length is 9.306 approximately .

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=√(area)` or
`y=√(x)`

Since, the area is:

x = 86.6

Substitute value of x in
`y=√(x)`.

`y=√(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 .