Question

Yesterday was the first day of the Dodge County Fair. The fair's organizers estimated 1,200 people would attend. Unfortunately, it rained, so only 960 people attended. What is the percent error for the organizers' estimate?

*Make sure you use the percent error formula. It is on the state test reference sheet.
*
1 point
240%
25%
20%
80%

Answer 1

To calculate the percent error, we can use the following formula:

\[
\text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Estimated Value}} \right) \times 100
\]

In this case:

- Estimated Value = 1200 (the organizers' estimate)
- Actual Value = 960 (the actual attendance)

Now, substituting the values into the formula:

\[
\text{Percent Error} = \left( \frac{1200 - 960}{1200} \right) \times 100
\]

Calculate the difference:

\[
1200 - 960 = 240
\]

Now divide by the estimated value:

\[
\frac{240}{1200} = 0.2
\]

Next, multiply by 100 to convert to a percentage:

\[
0.2 \times 100 = 20
\]

Thus, the percent error for the organizers' estimate is **20%**.

The correct answer is **20%**.