1. **State the problem:**
Sussex County received 43 inches of rainfall this year. The meteorologist's prediction had a percent error of about 18.02%. We need to find two possible values for the meteorologist's prediction.
2. **Formula for percent error:**
$$\text{Percent Error} = \frac{|\text{Prediction} - \text{Actual}|}{\text{Actual}} \times 100\%$$
3. **Set up the equation:**
Let the prediction be $P$. The actual rainfall is 43 inches, and the percent error is 18.02%, so:
$$18.02 = \frac{|P - 43|}{43} \times 100$$
4. **Solve for $|P - 43|$:**
$$\frac{|P - 43|}{43} = \frac{18.02}{100} = 0.1802$$
5. **Multiply both sides by 43:**
$$|P - 43| = 43 \times 0.1802 = 7.7486$$
6. **Write the absolute value equation as two cases:**
$$P - 43 = 7.7486 \quad \text{or} \quad P - 43 = -7.7486$$
7. **Solve each case:**
$$P = 43 + 7.7486 = 50.7486$$
$$P = 43 - 7.7486 = 35.2514$$
8. **Final answer:**
The two possible predictions are approximately $50.75$ inches and $35.25$ inches.
Rainfall Prediction 2B81Ce
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