Theresa's estimate the height of a giraffe zoo is 18 feet in fact it is 16 feet what is Teresa's present portion solved the prompt should provide your answers and write your answers nearest 10th

3 answers

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

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

In this case:

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

Now, we can plug these values into the formula:

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

  2. Divide the absolute error by the actual value: \[ \frac{2}{16} = 0.125 \]

  3. Multiply by 100 to get percent error: \[ 0.125 \times 100 = 12.5 \]

Therefore, Theresa's percent error in her estimate of the giraffe's height is 12.5%.

Can you simplify this down to 5th grade math

Sure! Here’s how to explain it simply:

To find out how far off Theresa's guess was, we can follow these steps:

  1. Find the Difference: First, we need to see how much Theresa's guess (18 feet) was different from the real height (16 feet). We do that by subtracting the two numbers:
    \[ 18 - 16 = 2 \text{ feet} \] This means she was off by 2 feet.

  2. Compare to the Real Height: Next, we want to see how big that difference (2 feet) is compared to the actual height (16 feet). We do that by dividing the difference by the actual height: \[ \frac{2}{16} = 0.125 \]

  3. Turn It into a Percentage: Finally, we want to change that number into a percentage. To do that, we multiply by 100: \[ 0.125 \times 100 = 12.5 \]

So, we say Theresa was 12.5% off in her guess about the giraffe's height!

And that’s how you find out how far off her estimate was!