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..

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To calculate Teresa's percent error in her height estimate of the giraffe, we can use the following formula for percent error:

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

Where:

  • Estimated Value = 18 feet (Teresa's estimate)
  • Actual Value = 16 feet (the actual height of the giraffe)

Now we can substitute these values into the formula:

  1. Calculate the absolute error:

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

  1. Now, calculate the percent error:

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

  1. Simplify the fraction:

\[ \frac{2}{16} = \frac{1}{8} \]

  1. Convert the fraction to a decimal:

\[ \frac{1}{8} = 0.125 \]

  1. Multiply by 100 to get the percent:

\[ 0.125 \times 100 = 12.5 \]

Thus, Teresa's percent error is:

\[ \boxed{12.5%} \]

User Icon for epic epic answered
1 hour ago
make it a paragraph
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine Teresa's percent error in her height estimate of a giraffe, we first 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, Teresa estimated the giraffe's height to be 18 feet, while the actual height is 16 feet. We calculate the absolute error by finding the difference between the estimated and actual values: \(|18 - 16| = 2\) feet. Next, we find the percent error by dividing the absolute error by the actual value, resulting in \(\frac{2}{16}\), which simplifies to \(\frac{1}{8}\) or 0.125 when converted to a decimal. Finally, multiplying by 100 gives us a percent error of 12.5%. Therefore, Teresa's percent error in her estimation of the giraffe's height is \( \boxed{12.5%} \).

User Icon for epic epic answered
1 hour ago
make it normal text
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine Teresa's percent error in her height estimate of a giraffe, we first use the formula for percent error, which is \(\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100\). In this case, Teresa estimated the giraffe's height to be 18 feet, while the actual height is 16 feet. We calculate the absolute error by finding the difference between the estimated and actual values: |18 - 16| = 2 feet. Next, we find the percent error by dividing the absolute error by the actual value, resulting in \(\frac{2}{16}\), which simplifies to \(\frac{1}{8}\) or 0.125 when converted to a decimal. Finally, multiplying by 100 gives us a percent error of 12.5%. Therefore, Teresa's percent error in her estimation of the giraffe's height is 12.5%.

User Icon for epic epic answered
1 hour ago
short
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find Teresa's percent error in estimating the giraffe's height, we use the formula \(\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100\). Teresa estimated the giraffe's height at 18 feet, while the actual height is 16 feet. The absolute error is |18 - 16| = 2 feet. This leads to a percent error of \(\left( \frac{2}{16} \right) \times 100 = 12.5%\). Thus, Teresa's percent error in her estimation is 12.5%.