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bob estimates that he weighs 170 pounds, but he actually weighs 148 pou…

Question

bob estimates that he weighs 170 pounds, but he actually weighs 148 pounds. what is the percent error in bobs estimate? ?% round to the nearest whole percent.

Explanation:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the estimated value and the actual value. So, we calculate $|170 - 148|$.
$|170 - 148| = |22| = 22$

Step2: Calculate the percent error

The formula for percent error is $\frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$. We substitute the absolute error (22) and the actual value (148) into the formula.
$\frac{22}{148} \times 100\% \approx 0.1486 \times 100\% = 14.86\%$

Step3: Round to the nearest whole percent

Rounding 14.86% to the nearest whole percent gives 15%.

Answer:

15