6. 3/4 points | Previous Answers My Notes A tree of height y meters has approxim

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6. 3/4 points | Previous Answers My Notes A tree of height y meters has approximately B branches, where B = y-1. Each branch has approximately n leaves where n = 12B2-B. (a) Consider a tree of height 8 meters. Use the model above to find each of the following. Approximate number of branches:7 Approximate number of leaves on one branch: Approximate number of leaves on the tree: 47 (b) Consider a tree of height y meters. Use the model above to find a expression for the approximate number of leaves on the tree. Give your answer in terms of y. Submit Answer Save Progress

Explanation / Answer

Given, model for number of branches B = y-1, where y is the height.

no.of leaves model, n = 12B2-B, substitute the value of B= y-1 in leaves equation.

implies, leaves n = 12(y-1)2-(y-1)

implies, 12(y2-2y+1)-y+1

implies, 12y2-25y+13 is the equation for leaves in terms of y.

Ans: 12y2-25y+13

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