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Question
nick estimates his piggy bank has $89 in it, but when he opens it he actually has $66. what is the percent error in nicks estimate? ?% round to the nearest whole
Step1: Find the absolute error
The absolute error is the absolute value of the difference between the estimated value and the actual value. So, \( |89 - 66| = 23 \).
Step2: Use the percent error formula
The formula for percent error is \( \text{Percent Error} = \frac{|\text{Estimated} - \text{Actual}|}{\text{Actual}} \times 100\% \). Substituting the values, we get \( \frac{23}{66} \times 100\% \).
Step3: Calculate the value
\( \frac{23}{66} \times 100\% \approx 34.85\% \), and rounding to the nearest whole percent gives \( 35\% \).
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35%