A tree of height y meters has approximately B branches, where B = y - 2. Each branch has approximately n leaves where n = 9B2 - B. Find the approximate number of leaves of a tree as a function of height.

Approximate number of leaves of a tree

Question

Mathematics

Gavyn Avery

22 February, 10:30

A tree of height y meters has approximately B branches, where B = y - 2. Each branch has approximately n leaves where n = 9B2 - B. Find the approximate number of leaves of a tree as a function of height.

Approximate number of leaves of a tree

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Finley Cobb · Answer 1

We are given an expression representing the number of branches in terms of the height of the tree, y: B = y - 2 and the number of leaves n = 9B2 - B. the function of the number of leaves as a function of height is

n = 9B^2 - B

n = 9 (y-2) ^2 - (y-2)

n = 9 * (y2-4y+4) - y + 4

n = 9y2-36y+36 - y + 4

n = 9y2-37y+40

A tree of height y meters has approximately B branches, where B = y - 2. Each branch has approximately n leaves where n = 9B2 - B. Find the approximate number of leaves of a tree as a function of height.Approximate number of leaves of a tree

A tree of height y meters has approximately B branches, where B = y - 2. Each branch has approximately n leaves where n = 9B2 - B. Find the approximate number of leaves of a tree as a function of height.

Approximate number of leaves of a tree