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Akira estimated that a tree was 40 years old. The true age of the tree was 47 years old.


Which expression can be used to calculate the percent error in Akira’s estimate?

Verified Answer :

The formula for percent error is : \(\frac { |Estimated\quad value\quad -\quad Exact\quad value| }{ |Exact\quad value| } \cdot 100\).

So let's plug the given values in the formula.

\(\frac { |40-47| }{ |47| } \cdot 100=\quad \frac { |-7| }{ 47 } \cdot 100=\frac { 7 }{ 47 } \cdot 100=0.148\cdot 100=\frac { 148 }{ 1000 } \cdot 100=\frac { 148 }{ 10 } =14.8\)

The percent error is 14.8%

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