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)write it in a sentance show your work,,

Answer 1

To calculate Teresa's percent error, we can use the following formula:

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

Step 1: Identify the values given in the problem.

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

Step 2: Calculate the absolute error.
\[ |\text{Estimated Value} - \text{Actual Value}| = |18 - 16| = 2 \text{ feet} \]

Step 3: Plug the values into the percent error formula.
\[ \text{Percent Error} = \left( \frac{2}{16} \right) \times 100 \]

Step 4: Simplify the fraction.
\[ \frac{2}{16} = 0.125 \]

Step 5: Multiply by 100 to get the percentage.
\[ 0.125 \times 100 = 12.5 \]

Therefore, Teresa’s percent error in estimating the height of the giraffe is 12.5%.

Answer 2

show your work in a sentence ......

Answer 3

To calculate Teresa’s percent error, I first found the absolute error by subtracting the actual height of the giraffe (16 feet) from her estimated height (18 feet), resulting in an absolute error of \( |18 - 16| = 2 \) feet; then, I used the formula for percent error, \( \text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100 = \left( \frac{2}{16} \right) \times 100 = 12.5% \), which means Teresa’s percent error is 12.5%.