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Eve took a road trip to visit an old friend. She expected the drive to take 33 hours and 3030 minutes, but she was delayed by construction and it actually took 44 hours. What is the percent error for her estimate? If necessary, round your answer to the nearest tenth of a percent.\newline____%\%

Full solution

Q. Eve took a road trip to visit an old friend. She expected the drive to take 33 hours and 3030 minutes, but she was delayed by construction and it actually took 44 hours. What is the percent error for her estimate? If necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Time in Minutes: Calculate the actual time taken and the expected time in minutes for better precision in calculations. Expected time: 33 hours 3030 minutes = 210210 minutes. Actual time: 44 hours = 240240 minutes.
  2. Find Time Difference: Find the difference in time between the actual and expected durations. Difference = 240240 minutes - 210210 minutes = 3030 minutes.
  3. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = (ActualExpected/Expected)×100(|Actual - Expected| / Expected) \times 100. Percent Error = (30/210)×100(30 / 210) \times 100.
  4. Perform Division and Multiplication: Perform the division and multiplication to find the percent error. Percent Error = 0.142857×100=14.2857%0.142857 \times 100 = 14.2857\%.
  5. Round Percent Error: Round the percent error to the nearest tenth. Rounded Percent Error = 14.3%14.3\%.

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