Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.

Respuesta :

Step 1

Given; Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.

[tex]\begin{gathered} new\text{ value=142.3} \\ reference\text{ value=167.5} \end{gathered}[/tex]

Step 2

[tex]Absolute\text{ change=142.3-167.5=-25.2}[/tex][tex]\begin{gathered} relative\text{ change=}\frac{142.3-167.5}{167.5}=-\frac{252}{1675}\times100 \\ relative\text{ change=-}\frac{1008}{67}\text{ \%} \\ \end{gathered}[/tex]

Answer;

[tex]\begin{gathered} Absolute\text{ change=-25.2} \\ Relative\text{ change=-15.04\%} \end{gathered}[/tex]

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