Chapter 6.4, Problem 16IP

To determine

To find: Percentage of change.

Answer to Problem 16IP

Percent of change is $13.2\%$

Percent of change is increase.

Explanation of Solution

Given information:

Number of points in their first game = Original value $=38$ points.

Number of points in their next game = Final value $=17$ points.

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

Where

  $A=$ Amount of change.

  $O=$ Original amount.

From given information

Number of points in their first game = Original value $=38$ points.

Number of points in their next game = Final value $=17$ points.

Amount of change = Final value $-$ Original value

  $\begin{array}{l}\Rightarrow A=17-38\\ \Rightarrow A=-21\end{array}$

Therefore,

Percent of change $=\frac{-21}{38}\times 100$

  $\Rightarrow$ Percent of change $=\frac{-2100}{38}$

  $\Rightarrow$ Percent of change $=-55.263$

To the nearest tenth, Percent of change is $55.3\%$ and negative sign indicates that percent of decrease.