^{2}= 25

^{2 }* 25 )/ 705 = 194.

Calculating body-mass index (BMI) is a way to gauge whether a person should lose weight. Doctors recommend that body-mass index values fall between 19 and 25. The formula for Body mass index B is B=705w/h^2, where w is weight in pounds and h is height in inches. A patient is 6ft 2 in tall. What should his or her weight be to have a body mass index of 25? (Round to the nearest whole pound)

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Ok:

h = 6ft, 2 in = 6* 12" + 2 = 74"

W is unknown and has to be evaluated.

750 w / 74^{2} = 25

w = (74^{2 }* 25 )/ 705 = 194.

Thank you Jim . I took 750 for 705.

George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"

Theresa:

Per your formula, B=(705w)/h^{2}, where w=weight in pounds and h=height in inches.

From the info provided, we know that B=25 and h=74 inches (6ft * 12 inches per foot + 2 inches).

Substituting these values in the formula, we get: 25=(705w)/(74*74)

25=705w/5476

Now, solving for w, we get w=(25*5476)/705=**194.18 pounds** (rounded to nearest hundredth).

Hope this helps.

George T.

Solving for w gives:

w=Bxh^{2 }/705

Since you were given that:

B=25

h=74"

then w=25x(74^{2})/705= 194 lbs

B=705w/h^2

Solve for w,

w = Bh^2/705 = 25(6*12+2)^2/705 = 194.2 lb <==Answer

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