Compare the area of the bases. If a base has a greater area, it will take up more space on the shelf.Base area of Box 1: 3x2Base area of Box 2: 4x2 – x Which box is likely to occupy more space on the shelf? Explain. Try substituting different values for x.
Box 2 will most likely occupy more shelf space. For values of x greater than 1, the base area of Box 2 is greater.
Explain your reasoning.
Box 1’s volume is 3x^5, which is a monomial because it has one term. Box 2’s volume is 4x^5 − x^4, which is a binomial because it has two terms. Box 1 is modeled by a monomial times a monomial, while Box 2 is modeled by a monomial times a binomial.
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