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Scaling Questions Key

# Scaling Questions Key - 1 . exponentof1. .75 2...

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1) If heart rate scales with a ‐0.25 exponent and stroke volume scales with and exponent of 1.0 what exponent would you expect for cardiac output? Cardiac Output is proportional to body mass to the 0.75 2) What scaling exponent would you expect under conditions of isometry for a plot of surface are per unit volume (on the y‐axis) and volume (on the x‐ axis)? Explain your answer. The scaling exponent is ‐1/3 3) If heart rate scales proportional to body mass to the exponent ‐0.25 and life span scales to the exponent 0.25, write the scaling relationship for the number of heart beats that occur during an organisms life time. Explain algebraically how you arrived at your answer. The scaling relationship for the number of heart beats to body mass is 0. The HB does not change with body mass and the line is flat.

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4) Suppose you are a dendrologist (one who studies trees) and you are measuring the relationship between wood production and rainfall. In trees
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Scaling Questions Key - 1 . exponentof1. .75 2...

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