Subjects algebra

Percent Error 2B1499

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1. **State the problem:** We need to find the percent error of Evan's measurement of a line. 2. **Formula for percent error:** $$\text{Percent Error} = \left| \frac{\text{Measured Value} - \text{Actual Value}}{\text{Actual Value}} \right| \times 100\%$$ 3. **Identify values:** - Measured Value = 17.5 inches - Actual Value = 16.7 inches 4. **Calculate the difference:** $$|17.5 - 16.7| = 0.8$$ 5. **Divide by actual value:** $$\frac{0.8}{16.7} \approx 0.0479$$ 6. **Convert to percent:** $$0.0479 \times 100\% = 4.79\%$$ 7. **Round to nearest tenth:** $$4.79\% \approx 4.8\%$$ **Final answer:** The percent error of the measurement is **4.8%**.