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) wright as a six grader would

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

To find Teresa's percent error in her estimate of the giraffe's height, we'll follow these steps:

  1. Find the difference between the estimated height and the actual height.

    • Teresa's estimate: 18 feet
    • Actual height: 16 feet

    The difference is calculated as: \[ \text{Difference} = \text{Estimated height} - \text{Actual height} \] \[ \text{Difference} = 18 \text{ feet} - 16 \text{ feet} = 2 \text{ feet} \]

  2. Now, we need to find the percent error. Percent error is calculated using the formula: \[ \text{Percent Error} = \left( \frac{\text{Difference}}{\text{Actual height}} \right) \times 100 \]

  3. Plug in the values:

    • Difference = 2 feet
    • Actual height = 16 feet

    So we calculate: \[ \text{Percent Error} = \left( \frac{2 \text{ feet}}{16 \text{ feet}} \right) \times 100 \]

  4. Now we simplify the fraction: \[ \frac{2}{16} = \frac{1}{8} = 0.125 \]

  5. Now we multiply by 100 to get the percent: \[ 0.125 \times 100 = 12.5 \]

  6. Finally, round the answer to the nearest tenth:

    • 12.5 is already to the nearest tenth.

So, Teresa's percent error in estimating the height of the giraffe is 12.5%.