Question

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.

Answer 1

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.

`\begin{gathered} new\text{ value=142.3} \\ reference\text{ value=167.5} \end{gathered}`

Step 2

`Absolute\text{ change=142.3-167.5=-25.2}`
`\begin{gathered} relative\text{ change=}(142.3-167.5)/(167.5)=-(252)/(1675)*100 \\ relative\text{ change=-}(1008)/(67)\text{ \%} \\ \end{gathered}`

Answer;

`\begin{gathered} Absolute\text{ change=-25.2} \\ Relative\text{ change=-15.04\%} \end{gathered}`