Chapter 6.4, Problem 24IP

To determine

To find: Percent of change in number of athletes participating from one summer Olympics to next.

Answer to Problem 24IP

Percent of change is $4.2\%$

Explanation of Solution

Given information:

Number of athletes participated in summer Olympics one year = Original amount $=10,651$ .

Number of athletes participated in summer Olympics four years later =Final amount $=11,099$

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

Where

  $A=$ Amount of change.

  $O=$ Original amount.

From given information

Number of athletes participated in summer Olympics one year = Original amount $=10,651$ .

Number of athletes participated in summer Olympics four years later =Final amount $=11,099$

Amount of change = Final amount $-$ Original amount

  $\begin{array}{l}\Rightarrow A=11,099-10,651\\ \Rightarrow A=448\end{array}$

Therefore,

Percent of change $=\frac{448}{10,651}\times 100$

  $\Rightarrow$ Percent of change $=\frac{44800}{10,651}$

  $\Rightarrow$ Percent of change $=4.2061$

To the nearest tenth, the Percent of change is $4.2\%$ and positive sign indicates that percent of increase.