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Clare and her friends offered to help their science teacher pack up his materials at the end of the school year. When Clare saw how much there was to pack, she guessed it would take 33 hours to finish. It actually took them only 2122 \frac{1}{2} hours. What is the percent error for Clare's estimate? If necessary, round your answer to the nearest tenth of a percent.\newline____%\%

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Q. Clare and her friends offered to help their science teacher pack up his materials at the end of the school year. When Clare saw how much there was to pack, she guessed it would take 33 hours to finish. It actually took them only 2122 \frac{1}{2} hours. What is the percent error for Clare's estimate? If necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Difference: Calculate the difference between the estimated time and the actual time taken.\newlineDifference = Estimated Time - Actual Time\newlineDifference = 33 hours - 2.52.5 hours\newlineDifference = 0.50.5 hours
  2. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = (∣Difference∣/Actual Time)×100%(|\text{Difference}| / \text{Actual Time}) \times 100\%.
    Percent Error = (0.5/2.5)×100%(0.5 / 2.5) \times 100\%
    Percent Error = 0.2×100%0.2 \times 100\%
    Percent Error = 20%20\%

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