Question

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 1

3

Explanation:

Let 14=x

14+2 = 16

square root of 16 is 4

4-1 = 3

Answer 2

Side = 3.741

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

`y=√(x)`

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

Here area = x =14

Hence side

`y=√(x)\\side =√(14) =3.741`

Verify:

Find area when side =3.741

Area =
`3.741^(2) =13.998=14`

Verified