Question

Functions W and Z are both linear functions of x.



Function z



Function W



x + 30



15.8



15.76



15.72



15.68



Which statement comparing the functions is true?

Answer 1

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The statement comparing the function is   $y = - \frac{1}{25} x + 15.8$

Step-by-step explanation:

First thing  to do is generate equation for  Z

    We have that

               at $x_1 = 0$ $,y_1 = 15.8$   $i.e \ S(x_1 , y_1) = S(0,15.8)$

           and at  $x_2 = 1$ $, \ y_2 = 15.76$   $i.e \ A(x_2 , y_2) = S(1,15.76)$  

Now                 y =   m x + c

        m is the slope which is mathematically represented as

               $m = \frac{15.76 - 15.8}{1 -0}$

                $m =- 0.04$

So the equation of the line is mathematically represented as

                $y - y_1 = m (x -x_1)$

                 $y - 15.8 = m (x -0)$

                  $y = -0.04 x + 15.8$

                 $y = - \frac{1}{25} x + 15.8$