Chapter 2.10, Problem 2P

Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent.

Original amount: 72

New amount: 67

To determine

To tell whether the following percent change:

Original amount:72

New amount: 67

is an increase or decrease and then find the percent change and to round it to the nearest percent.

Answer to Problem 2P

Decrease by $6.94\%$

Explanation of Solution

Given:

Consider Original amount:72 and New amount: 67

Calculations:

Since, New amount is smaller than the original amount, therefore, the percent change is a decrease.

In order to find the percent decrease, subtract the new amount from the original amount and divide the difference by the original amount.

  $\Rightarrow \frac{72-67}{72}=\frac{5}{72}$

Now multiply the expression by 100.

  $\Rightarrow \frac{5}{72}\times 100\approx 6.94\%$