4. For a particular species of mango tree, the total biomass B (in grams) of a tree with diameter at breast height D (in cm) can be modelled with the following allometric equation: B = 0.00056 × D².67. Suppose also that the diameter at breast height D (in cm) depends on the age A (in years) of the tree as follows: D = 8.6 × Aº.58 (a) Consider the following two plots of data with the axis labels missing. If these data are mea- surements related to the relationships between biomass, diameter and age of mango trees, write down appropriate labels for the axes and explain why you made these choices. ++ (b) Write down a model for the total biomass of the tree as a function of age and draw a rough
4. For a particular species of mango tree, the total biomass B (in grams) of a tree with diameter at breast height D (in cm) can be modelled with the following allometric equation: B = 0.00056 × D².67. Suppose also that the diameter at breast height D (in cm) depends on the age A (in years) of the tree as follows: D = 8.6 × Aº.58 (a) Consider the following two plots of data with the axis labels missing. If these data are mea- surements related to the relationships between biomass, diameter and age of mango trees, write down appropriate labels for the axes and explain why you made these choices. ++ (b) Write down a model for the total biomass of the tree as a function of age and draw a rough
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Transcribed Image Text:4. For a particular species of mango tree, the total biomass B (in grams) of a tree with diameter at
breast height D (in cm) can be modelled with the following allometric equation:
В
0.00056 x D2.67.
||
Suppose also that the diameter at breast height D (in cm) depends on the age A (in years) of the
tree as follows:
D = 8.6 × Aº.58.
(a) Consider the following two plots of data with the axis labels missing. If these data are mea-
surements related to the relationships between biomass, diameter and age of mango trees, write
down appropriate labels for the axes and explain why you made these choices.
v yv X
(b) Write down a model for the total biomass of the tree as a function of age and draw a rough
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