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Trisha was making muffins from scratch. She scooped out 22 cups of all-purpose flour and estimated that it weighed 250250 grams. When she weighed the flour on the scale, it only weighed 247247 grams. What is the percent error of Trisha's estimate?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%

Full solution

Q. Trisha was making muffins from scratch. She scooped out 22 cups of all-purpose flour and estimated that it weighed 250250 grams. When she weighed the flour on the scale, it only weighed 247247 grams. What is the percent error of Trisha's estimate?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Difference: Calculate the difference between the estimated weight and the actual weight of the flour. \newlineDifference = Estimated weight - Actual weight \newlineDifference = 250250 grams - 247247 grams \newlineDifference = 33 grams
  2. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = (Difference/Actual Value)×100%(|\text{Difference}| / \text{Actual Value}) \times 100\%.
    Percent Error = (3/247)×100%(3 / 247) \times 100\%
    Percent Error = 0.012145748987854251×100%0.012145748987854251 \times 100\%
    Percent Error = 1.2145748987854251%1.2145748987854251\%
  3. Round Percent Error: Round the percent error to the nearest tenth.\newlineRounded Percent Error = 1.2%1.2\%

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