Question

Lauren predicts she will take 129 photos during vacation. If Lauren actually takes 111 photos, what is Lauren's percent error? Round your answer to the nearest tenth.

Answer 1

Lauren's percent error is determined by calculating the absolute difference between her predicted and actual number of photos, dividing by the actual number, multiplying by 100, and rounding to the nearest tenth, resulting in a percent error of 16.2%.

Step-by-step explanation:

Lauren's percent error in predicting the number of photos taken during vacation is calculated using the formula for percent error, which is the absolute value of the difference between the estimated value and the actual value, divided by the actual value, all multiplied by 100. The steps for finding Lauren's percent error are as follows:

1. Subtract the actual number of photos taken (111) from the predicted number (129) to find the difference.
2. Take the absolute value of the difference since error is always positive.
3. Divide the absolute difference by the actual number (111).
4. Multiply the result by 100 to get the percent error.
5. Round the final answer to the nearest tenth.

To illustrate:

• Difference: 129 - 111 = 18
• Absolute difference: |18| = 18
• Divide by actual value: 18 / 111
• Multiply by 100: (18 / 111) * 100 ≈ 16.2%

Therefore, Lauren's percent error is 16.2%, rounded to the nearest tenth.