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Colton likes to see how quickly he can finish the crossword puzzle in his local newspaper. After glancing at today's puzzle, Colton predicted he could complete it in 1414 minutes. It actually took him 1616 minutes to finish the puzzle. What is the percent error for Colton's prediction?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%

Full solution

Q. Colton likes to see how quickly he can finish the crossword puzzle in his local newspaper. After glancing at today's puzzle, Colton predicted he could complete it in 1414 minutes. It actually took him 1616 minutes to finish the puzzle. What is the percent error for Colton's prediction?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Difference: Calculate the difference between the predicted time and the actual time. \newlineDifference = Actual time - Predicted time = 1616 minutes - 1414 minutes = 22 minutes.
  2. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = (Difference/Predicted Time)×100%(|\text{Difference}| / \text{Predicted Time}) \times 100\%. Percent Error = (2/14)×100%(2 / 14) \times 100\% = 0.142857×100%0.142857 \times 100\% = 14.2857%14.2857\%.
  3. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 14.3%14.3\%.

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