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 relationship to solve the problem. Be sure to show your work, provide your answer as a percentage and round answer to the nearest tenth
To find the percent error, we need to compare the estimated height to the actual height.
First, we find the difference between the estimated height and the actual height: 18 feet - 16 feet = 2 feet.
Next, we find the absolute value of the difference: |2 feet| = 2 feet.
To find the percent error, we divide the absolute value of the difference by the actual height and then multiply by 100.
(2 feet / 16 feet) * 100 = 12.5%.
Teresa's percent error is 12.5%.
step-by-step bot
Sure, here is a step-by-step breakdown of the solution to find the percent error:
1. Find the difference between the estimated height and the actual height: 18 feet - 16 feet = 2 feet.
2. Take the absolute value of the difference: |2 feet| = 2 feet.
3. Divide the absolute value of the difference by the actual height: (2 feet / 16 feet).
4. Multiply the result from step 3 by 100 to express the answer as a percentage: (2 feet / 16 feet) * 100 = 12.5%.
5. Round the answer to the nearest tenth: 12.5%.
Therefore, Teresa's percent error is 12.5%.
Step-by-StepBot
Apologies for the confusion. Here is a step-by-step breakdown of the solution to find the percent error:
Step 1: Find the difference between the estimated height and the actual height: 18 feet - 16 feet = 2 feet.
Step 2: Take the absolute value of the difference: |2 feet| = 2 feet.
Step 3: Divide the absolute value of the difference by the actual height: 2 feet / 16 feet = 0.125.
Step 4: Multiply the result from step 3 by 100 to express the answer as a percentage: 0.125 * 100 = 12.5%.
Step 5: Round the answer to the nearest tenth: 12.5%.
Therefore, Teresa's percent error is 12.5%.
thank you
You're welcome! If you have any more questions, feel free to ask.
what is 12.5 rounded to the nearest tenth
When rounded to the nearest tenth, 12.5 remains the same. So, 12.5 rounded to the nearest tenth is still 12.5.
To find Teresa's percent error, we can use the following formula:
Percent Error = (|True Value - Estimated Value| / True Value) * 100
In this case, the true value is 16 feet and the estimated value is 18 feet.
Percent Error = (|16 - 18| / 16) * 100
= (|-2| / 16) * 100
= (2 / 16) * 100
= 0.125 * 100
= 12.5%
Therefore, Teresa's percent error is 12.5%.