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 = - (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`