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)
To calculate the percent error, we need to find the difference between Teresa's estimate and the actual height, and then divide that difference by the actual height.
Difference = Actual height - Teresa's estimate
Difference = 16 ft - 18 ft = -2 ft
Now, divide the difference by the actual height and multiply by 100 to get the percentage:
Percent error = (Difference / Actual height) * 100
Percent error = (-2 ft / 16 ft) * 100
Percent error = -12.5%
Therefore, Teresa's percent error is -12.5%.
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To find Teresa's percent error, we can use the formula:
Percent Error = (|Measured Value - Estimated Value| / Measured Value) * 100%
In this case, the measured value is 16 feet and the estimated value is 18 feet. Let's plug in these values into the formula and solve step by step:
Step 1:
Calculate the absolute difference between the measured and estimated values:
|16 - 18| = 2
Step 2:
Divide the absolute difference by the measured value:
2 / 16 = 0.125
Step 3:
Multiply the result by 100% to convert it to a percentage:
0.125 * 100% = 12.5%
Therefore, Teresa's percent error is 12.5%.