Chapter 6.4, Problem 29IP

To determine

To find: Which restaurant had greaterPercent of change in second quarter.

Answer to Problem 29IP

Percent of change of restaurant B is greater than percent of change of restaurant A.

Explanation of Solution

Given information:

Earnings of restaurant A in first quarter = Original amount of restaurant A $=\$17821$

Earnings of restaurant A in second quarter = Final amount of restaurant A $=\$18331$ .

Earnings of restaurant B in first quarter = Original amount of restaurant B $=\$8112$

Earnings of restaurant B in second quarter = Final amount of restaurant B $=\$9920$ .

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

Where

  $A=$ Amount of change.

  $O=$ Original amount.

From given information

For restaurant A

Amount of change = Final amount $-$ Original amount

  $\begin{array}{l}\Rightarrow A=18331-17821\\ \Rightarrow A=510\end{array}$

Therefore,

Percent of change $=\frac{510}{17821}\times 100$

  $\Rightarrow$ Percent of change $=\frac{51000}{17821}$

  $\Rightarrow$ Percent of change $=2.861$

To the nearest tenth, the Percent of change of restaurant A is $2.9\%$ .

For restaurant B

Amount of change = Final amount $-$ Original amount

  $\begin{array}{l}\Rightarrow A=9920-8112\\ \Rightarrow A=1808\end{array}$

Therefore,

Percent of change $=\frac{1808}{8112}\times 100$

  $\Rightarrow$ Percent of change $=\frac{180800}{8112}$

  $\Rightarrow$ Percent of change $=22.287$

To the nearest tenth, the Percent of change of restaurant B is $22.3\%$ .

We got

Percent of change of restaurant A is $2.9\%$ .

Percent of change of restaurant B is $22.3\%$

Therefore, on comparing we can say that

Percent of change of restaurant B is greater than percent of change of restaurant A in second quarter.