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The body mass index (BMI) of an adult is directly proportional to the person's weight in pounds. If a certain adult weighing 145 pounds has a BMI of 23.2, what would be the new BMI of the person after losing 5 pounds?

Answer :

If the BMI is directly proportional to the person's weight (in pounds), then:I

[tex]BMI=k\cdot w[/tex]

Where w is the weight and k is a constant of proportionality. We know that if w = 145 pounds, the BMI is 23.2. Then:

[tex]\begin{gathered} 23.2=k\cdot145 \\ \\ \Rightarrow k=0.16 \end{gathered}[/tex]

Finally, if the person loses 5 pounds, w = 140 pounds. Using the first equation:

[tex]\begin{gathered} BMI=0.16\cdot140 \\ \\ \therefore BMI=22.4 \end{gathered}[/tex]

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