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?

Question

asked Oct 12, 2021 93.2k views

1 Answer

ScottWelker · Answer 1 · 2021-10-15T18:55:18+0000

Complete Question

The complete question is shown on the first uploaded image

Answer:

The statement comparing the function is
y = - (1)/(25) x + 15.8

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 = (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 = - (1)/(25) x + 15.8