Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained. do all of these please
To find the percent error, we can use the formula:
\[ \text{Percent Error} = \left| \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \right| \times 100 \]
Substituting the given values:
\[ \text{Percent Error} = \left| \frac{18 - 16}{16} \right| \times 100 \]
Simplifying the expression inside absolute value:
\[ \text{Percent Error} = \left| \frac{2}{16} \right| \times 100 \]
\[ \text{Percent Error} = \left| \frac{1}{8} \right| \times 100 \]
Since the absolute value of 1/8 is 1/8, we have:
\[ \text{Percent Error} = \frac{1}{8} \times 100 \]
\[ \text{Percent Error} = 12.5 \]
Therefore, Teresa's percent error is 12.5%.