Greta is mailing a care package to her little sister at college. After packing the box, she weighs it on her bathroom scale to estimate the mailing cost. The scale shows the package weighing $3$ pounds. At the post office, the clerk weighs the package on a more precise scale, and it weighs $3.25$ pounds. What is the percent error for Greta's scale's measurement? If necessary, round your answer to the nearest tenth of a percent. $\newline$ ____ $\%$

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Percent error: word problems

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Q. Greta is mailing a care package to her little sister at college. After packing the box, she weighs it on her bathroom scale to estimate the mailing cost. The scale shows the package weighing

3

pounds. At the post office, the clerk weighs the package on a more precise scale, and it weighs

3.25

pounds. What is the percent error for Greta's scale's measurement? If necessary, round your answer to the nearest tenth of a percent.

\newline

____

\%

Calculate Difference: Calculate the difference between the two measurements. $\newline$ Difference = Actual weight - Measured weight = $3.25$ pounds - $3$ pounds = $0.25$ pounds.
Calculate Percent Error: Calculate the percent error using the formula: Percent Error = $(\frac{\text{Difference}}{\text{Actual weight}}) \times 100$ . Percent Error = $(\frac{0.25}{3.25}) \times 100$ = $7$ . $6923076923076925$ \%.
Round Percent Error: Round the percent error to the nearest tenth. $\newline$ Rounded Percent Error = $7.7\%$ .