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# Mathematics - Algebra - Inequalities of body mass

Assistance with attached problems

1. The body mass index, I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index given by the formula, or model, I = 700W/H2, (H2 means to the second power) where, W= weight in pounds, and H= height, in inches. Francis weighs 181 pounds and stands 74 inches tall. What is his approximate body mass index? Find an inequality describing all weights W that Francis can have and be in the low risk category.

2. Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first \$170 of her medical bill, plus 40% of the rest. Under plan B, Giselle would have to pay the first \$240, but only 35% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over \$240 in bills.

3. In order to receive maximum results from aerobic exercise, one should maintain ones heart rate at a certain level. A 30 year old women with a resting heart rate with 65 beats per minute should keep her heart rate between 140 and 165 beats per minute while exercising. She checks her pulse 10 seconds while exercising. What should the number of beats be? Between ___ and _____ BPM

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