Use Proportional Relationships Unit Test

Question

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Question
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.(4 points)

Answer 1

To find Teresa's percent error, we can use the formula for percent error, which is given by:

\[ \text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100 \]

In this case:

• Estimated Value = 18 feet
• Actual Value = 16 feet

Now, we can calculate the absolute error:

\[ \text{Absolute Error} = |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet} \]

Now, plug the values into the percent error formula:

\[ \text{Percent Error} = \left( \frac{2}{16} \right) \times 100 \]

Calculating the fraction:

\[ \frac{2}{16} = 0.125 \]

Now, multiply by 100 to convert it to a percentage:

\[ 0.125 \times 100 = 12.5 \]

So, Teresa's percent error is:

\[ \text{Percent Error} = 12.5% \]

Thus, rounded to the nearest tenth, Teresa's percent error is 12.5%.