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][tex][/tex]