QuestionFind the weight range $w$ for a healthful BMI (19 to 25) using $$\mathrm{BMI}=\frac{704 \times(\text { weight in pounds) }}{\text { (height in inches) }^{2}}$$ for heights: (a) 71 in, (b) 75 in, (c) 72 in.

Studdy Solution
For a height of72 in.Minimum weight$$w_{\text{min}} = \frac{19 \times (72)^{2}}{704} \approx136 \text{ pounds}$$Maximum weight$$w_{\text{max}} = \frac{25 \times (72)^{2}}{704} \approx189 \text{ pounds}$$So, the weight ranges for a healthful BMI for each height are(a)71 in.:133 to186 pounds(b)75 in.:144 to201 pounds(c)72 in.:136 to189 pounds