Use Proportional Relationships Unit Test

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)

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)

5 answers

To find Teresa's percent error in estimating the height of the giraffe, we can use the following formula for percent error:

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

Given:

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

Step 1: Calculate the difference between the estimated and actual values.

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

Step 2: Use the difference to calculate percent error.

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

Step 3: Calculate the fraction.

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

Step 4: Multiply by 100 to get the percentage.

\[ 0.125 \times 100 = 12.5 \]

Final Answer:

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

could you make that more simple? like 1 to 2 senteces short

Teresa’s percent error in estimating the height of the giraffe is calculated as follows:

\[ \text{Percent Error} = \left( \frac{18 - 16}{16} \right) \times 100 = \left( \frac{2}{16} \right) \times 100 = 12.5% \]

So, her percent error is 12.5%.

Get rid of all the confusesing "\text{Percent Error} = \left( \frac{18 -" stuff and just use normal words and symbols

Teresa estimated the giraffe's height to be 18 feet, but it is actually 16 feet tall.

To calculate her percent error:

  1. Find the difference: 18 - 16 = 2 feet.
  2. Divide the difference by the actual height: 2 ÷ 16 = 0.125.
  3. Multiply by 100 to get the percentage: 0.125 × 100 = 12.5%.

Thus, Teresa's percent error is 12.5%.