Question

After plotting he 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 f(x)= √x-1+1 . Use the model Sam created to predict the side length of the square when the area is 26.

Answer 1

Answer with explanation:

x= Area

f(x)= The length of one side of the square

Model Determined by Sam to approximate the side of a square is

`f(x)=√(x-1) +1`

It is given that , Area(x) = 26 Square Unit

Substituting the value of , x in above equation

`f(x)=√(26-1) +1\\\\f(x)=√(25) +1\\\\f(x)=5+1\\\\f(x)=6`

So, Side length of Square According to model created by Sam = 6 unit

Answer 2

6

Explanation:

Given data:

x=area

f(x)=the length of one side of the square

Also the model of f(x)=
`√(x-1) +1`

Now determining length of one side of the square f(x), when Area x of square is 26:

Putting the value x=26 in given equation of f(x)

f(x)=
`√(26-1) +1`

=
`√(25) +1`

= 5 +1

= 6

Hence length of one side of the square f(x) is 6, when Area x of square is 26 !