Pediatricians and medical researchers sometimes use the following empirical formula* relating the surface area S (m²) of a person to the person’s weight W (kg) and height H (cm):

a. Find S(15.83, 87.11). Sketch the level curve of S(W, H) that passes through (15.83, 87.11). Sketch several additional level curves of S(W, H). What do these level curves represent?

b. If Marc weighs 18.37 kg and has surface area 0.648 m², approximately how tall would you expect him to be?

c. Suppose at some time in her life, Jenny weighs six times as much and is twice as tall as she was at birth. What is the corresponding percentage change in the surface area of her body?

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S(W, H)= 0.0072 W0.425H0.725