Let I = W/H 2 denote the BMI described in Example 6. (a) Show that I

Let I = W/H² denote the BMI described in Example 6.

(a) Show that ΔI ≈ 0 if ΔH/ΔW ≈ H/2W.
(b) Suppose that (W, H) = (25, 1.1). What increase in H will leave I (approximately) constant if W is increased by 1 kg?

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EXAMPLE 6 Body Mass Index A person's BMI is I = W/H, where W is the body weight (in kilograms) and H is the body height (in meters). Estimate the change in a child's BMI if (W. H) changes from (40, 1.45) to (41.5, 1.47).