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Ryan estimates the measurement of the volume of a popcorn container to be 98 cubic inches. The actual volume of the popcorn container is 86 cubic inches. What is the percent error of Ryan's measurement to the nearest thousandth?

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Answer:

difference: -4 cubic inches

% change: -10%

Explanation:

The difference between the new volume and the original volume is ...

(new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

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The percentage change is figured with respect to the original volume:

% change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

= -1/10 × 100% = -10%

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