Question

9.
The circulation of a newsletter decreased from 5200 to 3140. Find the percent of decrease in circulation to the nearest percent.

Answer 1

To find the percent decrease in circulation, you can use the formula:

\[
\text{Percent Decrease} = \left( \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \right) \times 100
\]

In this case, the old value (initial circulation) is 5200 and the new value (final circulation) is 3140.

1. Calculate the decrease in circulation:

\[
\text{Decrease} = 5200 - 3140 = 2060
\]

2. Now, plug in the values into the percent decrease formula:

\[
\text{Percent Decrease} = \left( \frac{2060}{5200} \right) \times 100
\]

3. Calculate the fraction:

\[
\frac{2060}{5200} = 0.39615384615 \quad (\text{approximately})
\]

4. Multiply by 100 to convert to a percentage:

\[
0.39615384615 \times 100 \approx 39.615384615 \quad (\text{approximately}) \approx 39.62\%
\]

5. Rounding to the nearest percent gives us:

\[
\text{Percent Decrease} \approx 40\%
\]

Therefore, the percent decrease in circulation is approximately **40%**.