Respuesta :

The easiest way to attempt such questions is to throw in some numbers and do trial and error.

The question is asking about the change in values [tex]p[/tex] depending on the change in [tex]w[/tex]. So, let's play around with [tex]w[/tex].

Take [tex]w=1[/tex], then [tex]p=-0.25\times 1+15=14.75[/tex]
Take [tex]w=2[/tex], then [tex]p=-0.25\times2+15=-0.5+15=14.5[/tex]
Take [tex]w=3[/tex], then [tex]p=-0.25\times3+15=-0.75+15=14.25[/tex]
.
.
.
Take [tex]w=100[/tex], then [tex]p=-0.25\times100+15=-25+15=-10[/tex]

Notice how [tex]p[/tex] decreases in value for every increase in [tex]w[/tex]?

Therefore, as [tex]w[/tex] increases, the value of [tex]p[/tex] decreases (always).

Ans: B