The points are "[tex](0,0)[/tex], [tex](16,27)[/tex], and [tex](32,0)[/tex]" and the "[tex]W= -\frac{27}{256} \times ( x-32)\ \ \ \ \ 0\leq X \leq 32[/tex]", and further calculation can be defined as follows:
Linear function:
For point 1)
point 1 [tex](0,0)[/tex]
point 2 [tex](16,27)[/tex]
point 3 [tex](32,0)[/tex]
For point 2)
let [tex]y=a(x-0)(x-32) \\\\[/tex]
point[tex]= (16, 27)[/tex] is on y:
[tex]\to 27 = a(16)^2 \\\\ \to 27 = a\times 256 \\\\\to a = -\frac{27}{256} \\\\\to W= -\frac{27}{256} \times ( x-32)\\\\\to 0\leq X \leq 32[/tex]
Find out more information about the Linear function here:
brainly.com/question/15602982