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

    $f(x)=\sqrt{x-1} +1$

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

 Substituting the value of , x in above equation

    $f(x)=\sqrt{26-1} +1\\\\f(x)=\sqrt{25} +1\\\\f(x)=5+1\\\\f(x)=6$

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

Answer 2

Answer:

6

Step-by-step explanation:

Given data:

x=area

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

Also the model of f(x)= $\sqrt{x-1} +1$

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)= $\sqrt{26-1} +1$

   = $\sqrt{25} +1$

  = 5 +1

   = 6

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