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Wesley always estimates his grocery store total as he shops. While at Silver Street Groceries this morning, he estimated his total purchase would be 50$50 \$, but it was actually 46.10$46.10 \$. What is the percent error for his estimate?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%

Full solution

Q. Wesley always estimates his grocery store total as he shops. While at Silver Street Groceries this morning, he estimated his total purchase would be 50$50 \$, but it was actually 46.10$46.10 \$. What is the percent error for his estimate?\newlineIf necessary, round your answer to the nearest tenth of a percent.\newline____%\%
  1. Calculate Difference: Calculate the difference between Wesley's estimated total and the actual total. \newlineDifference = Estimated Total - Actual Total \newlineDifference = 50$$50 \$\$ - \)4646.1010 $\$ \newlineDifference = $\(3\).\(90\) \(\$\)
  2. Calculate Percent Error: Calculate the percent error using the formula: Percent Error = \((\frac{\text{Difference}}{\text{Actual Total}}) \times 100\%\). \(\newline\)Percent Error = \((\frac{3.90}{46.10}) \times 100\%\) \(\newline\)Percent Error = \(0.0846 \times 100\%\) \(\newline\)Percent Error = \(8.46\%\)
  3. Round Percent Error: Round the percent error to the nearest tenth of a percent.\(\newline\)Rounded Percent Error = \(8.5\%\)

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