contestada

the formula to compute a persons body mass index B = 703 w/h^2. B represents the body mass index, w is the persons weight in pounds and h represents the persons height in inches.
a. Solve the formula for w
b. What is the weight to the nearest pound of a person who is 64 inches tall and has a body mass index of 21.45.

Respuesta :

Using function concepts, it is found that:

  • a) The solution for w is [tex]w = \frac{Bh^2}{703}[/tex]
  • b) The weight is of 125 pounds.

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The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:

[tex]B = \frac{703w}{h^2}[/tex]

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Item a:

To solve the formula for w, we isolate w in the equation above, thus:

[tex]B = \frac{703w}{h^2}[/tex]

[tex]703w = Bh^2[/tex]

[tex]w = \frac{Bh^2}{703}[/tex]

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Item b:

  • 64 inches tall means that [tex]h = 64[/tex]
  • BMI of 21.45 means that [tex]B = 21.45[/tex]

The weight is:

[tex]w = \frac{21.45(64)^2}{703} = 125[/tex]

The weight is of 125 pounds.

A similar problem is given at https://brainly.com/question/5123313

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