Wang Xiu Ying is gift wrapping cube-shaped boxes for her class fundraiser. She has modeled the following relationships. ![](http://admin.getprephub.com/media/editor/problem%2016_20220823192938742479.png) Which 2 of the following composed functions make sense in this context?

Here $$S(m) \text{is a function of side length of box,} m $$ It gives the output of Surface area of the box. Lets us discuss the options Length of ribbon needed $$R(x)$$ is the function of surface area of the box $$x$$. $$\therefore R[S(m)]$$ is possible. $$P(a)=P$$ (surface area of the box) $$R[P(a)]=R$$ [amount of Wrapping paper needed] This is not possible . Since $$R$$ is a function of the surface area of the box. $$R(x)=R($$ Surface area of box) $$S(R(x))=S$$ (length of ribbon needed) This is also Not pessible, Since, $$S$$ is a function of side length of the box. $$P(S(m))=P($$ Surface area of box $$)$$ $$S(m)$$ gives the Surface of the area of the box. $$\therefore P(S(m))$$ is possible.

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MCQ

Wang Xiu Ying is gift wrapping cube-shaped boxes for her class fundraiser. She has modeled the following relationships.

Which 2 of the following composed functions make sense in this context?

Select all that apply :

$P(S(m))$

$R(S(m)), R(P(a)$

$P(S(m)), S(R(x))$

$S(R(x)) and R(P(a))$

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