The total leaf area a of a leafy plant scales with the total plant's mass m as a∝m3/4. Part a if you replace one large tree with two smaller trees, each with half the mass of the original tree, by what factor do you increase the total leaf area?



Answer :

The total leaf area is increased by a factor of 1.

What is the total leaf area, a of the tree?

The total area of the leafy plant is given by the formula below:

  • Area, a ∝ m3/4

a = k m/34

where m is the mass of the tree

The mass of the two smaller trees are half the masses of the bigger trees.

The total area of each of the smaller leafy plants are given are given as follows:

a ∝ m/2 * 3/4

a ∝ m3/8

a = k * m * 3/8

The total area of the two trees:  k * m * 3/8 +  k * m * 3/8

a = 2 *  k * m * 3/8

a =  k * m * 3/8

Therefore, the area is increased by a factor of 1.

Learn more area at: https://brainly.com/question/25965491

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