Mathematics · Polynomial Functions · Topic 17 · 17 of 18
Modeling Real-Life Situations
Represent volume, area, revenue, and motion situations with polynomial functions.
Define variablesState what each input and output represents, including units.
Build the modelTranslate dimensions or relationships into a polynomial.
Restrict the domainKeep only input values meaningful in the situation.
Open-box model
V(x)=x(L−2x)(W−2x)
The polynomial models the volume after cutting squares of side x from each corner of a rectangular sheet.