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A grocer plans to set up a pyramid-shaped display of cantaloupes like that shown in Example $3 .$ If each side of the square base of the display is made of six cantaloupes, how many will be used in the display?
91 cantaloupes
Algebra
Chapter 5
Exponents and Polynomials
Section 4
Polynomials
Campbell University
McMaster University
Idaho State University
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for this problem. We're looking back at one of the examples in the book Where in a supermarket They were making a pyramid out of cans, and they have this expression given to represent the total number of cans needed. If you have sea cans on each side. Well, in the problem we're doing now, we don't have cans. We have can tow lope, get it cantaloupe. And we want to know how many cantaloupe will be needed if you're doing six on each side. So in this case will use the same expression. But see will equal six the number on each side. So let's evaluate that for six will substitute the six in for C. Everywhere there's a C will write a six in its place, and then we'll use order of operations to simplify. So, first of all the exponents, so six cubed is to 16 so we have 1/3 time's to 16 and six squared is 36. We have 1/2 times 36 and then let's just do this multiplication here 16 times six is one. Okay, let's keep going. 1/3 Time's to 16 is 72 then 1/2 times 36 is 18 and then we have the plus one. So we need to add 72 in 18 and one, and that gives us 91. So you would need 91 cantaloupe or do we say cantaloupes? I'll say cantaloupes, I guess. Who need that many in order to complete the pyramid.
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