Chapter 6.4, Problem 10IP

To determine

To find: Percentage of change.

Answer to Problem 10IP

Percent of change is $68.8\%$

Percent of change is decrease.

Explanation of Solution

Given information:

Original value $=16$ kilograms.

Final value $=5$ kilograms.

Percent of change $=\frac{A}{O}\times 100$

Where

  $A=$ Amount of change.

  $O=$ Original amount.

From given information

Original value $=16$ kilograms.

Final value $=5$ kilograms.

Amount of change = Final value $-$ Original value

  $\begin{array}{l}\Rightarrow A=5-16\\ \Rightarrow A=-11\end{array}$

Therefore,

Percent of change $=\frac{-11}{16}\times 100$

  $\Rightarrow$ Percent of change $=\frac{-1100}{16}$

  $\Rightarrow$ Percent of change $=-68.75$

To the nearest tenth, Percent of change is $68.8\%$ and negative sign indicates that percent of decrease.