Question

The body mass index, I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model. I=700W/H2, where W=weight, in pounds, and H=height, in inches. Francis weighs 213 pounds and stands 70 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the lowrisk category.
1. approximate body mass index is?
2. show an inequality describing all weights W in the low risk category.

Answer 1

Answer:

30.43

W < 175 pounds.

Step-by-step explanation:

The formula $I = 700\frac{W}{H^{2} }$ gives the body mass index of a person, where W is the weight in pounds and H is the height in inches.

So, if Francis weighs 213 pounds and stands 70 inches tall, then his body mass index will be, $I = 700 \times \frac{213}{70^{2}} = 30.43$ (Approximate)

Now, an index value less than 25 indicates a low risk, then the inequality that describes all weights W in the low-risk category will be

$700 \times \frac{W}{70^{2}} < 25$

⇒ W < 175 pounds. (Answer)