Terra estimates that the height of a giraffe is 18ft but the giraffe is 16ft what is her percent error. Use proportional relationships provide answer as a percent and round to the nearest tenth

Answer 1

To calculate the percent error, you can use the following formula:

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

In this case, the estimated height of the giraffe is 18 ft, and the actual height is 16 ft.

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

2. Calculate the percent error: \[ \text{Percent Error} = \left(\frac{2}{16}\right) \times 100 = 0.125 \times 100 = 12.5 \]

Thus, the percent error is 12.5%.

Answer 2

can you rewrite it like a 12 year old did it

Answer 3

Sure! Here’s how a 12-year-old might explain it:

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Okay, so we’re trying to find out how off Terra’s guess was about the height of a giraffe. She thought it was 18 feet tall, but it’s really only 16 feet tall.

First, let's find out how much she was wrong by. We do that by subtracting the actual height from her guess:

• Her guess: 18 feet
• Actual height: 16 feet

So, we do: \[ 18 - 16 = 2 \] This means she was off by 2 feet!

Now, to find the percent error, we have to see how big that mistake is compared to the real height. We take the difference (which is 2) and divide it by the actual height (16 feet):

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

Now, if we make that a decimal, it’s: \[ \frac{2}{16} = 0.125 \]

To turn it into a percent, we multiply by 100: \[ 0.125 \times 100 = 12.5 \]

So, Terra's percent error is 12.5%. That means her guess was 12.5% higher than the actual height of the giraffe!