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. Show all your work and round your answer to the nearest tenth.
is the answer 12.5
The formula for percent error is:
(percent error) = (|estimated value - actual value| / actual value) * 100
Substituting the given values:
percent error = (|18 - 16| / 16) * 100
Simplifying:
percent error = (2 / 16) * 100
percent error = 0.125 * 100
percent error = 12.5
Therefore, the percent error is indeed 12.5%.
tell me how you got the answer step by step
hello
Hello! I apologize for not providing a step-by-step explanation initially. Here's a step-by-step breakdown of how to calculate the percent error:
Step 1: Write down the formula for percent error:
(percent error) = (|estimated value - actual value| / actual value) * 100
Step 2: Substitute the given values into the formula:
estimated value = 18
actual value = 16
Step 3: Find the absolute difference between the estimated and actual values:
|estimated value - actual value| = |18 - 16| = 2
Step 4: Calculate the percent error using the formula:
percent error = (|estimated value - actual value| / actual value) * 100
percent error = (2 / 16) * 100
Step 5: Simplify:
percent error = 0.125 * 100
Step 6: Calculate the final result:
percent error = 12.5
Therefore, the percent error is 12.5%.