Final answer:
The percent error for Mr. Slacker's guess is calculated as the absolute value of the difference between his estimate (60) and the actual number (110), divided by the actual number, times 100%. The calculation gives us 45.45%, which rounds to 45%, corresponding to option A, not the provided answer of B. 60%.
Step-by-step explanation:
The question asks you to calculate the percent error of Mr. Slacker's guess about the number of students. The percent error is determined by taking the absolute value of the difference between the estimated value and the actual value, divided by the actual value, all multiplied by 100%. In this case, Mr. Slacker guessed 60 students but the actual number turned out to be 110.
To calculate the percent error:
- Absolute error = |Estimated value - Actual value| = |60 - 110| = 50
- Percent error = (Absolute error / Actual value) × 100% = (50 / 110) × 100% = 45.45%
However, since 45.45% is not one of the options provided, we round this to the nearest whole number which is 45%, so the correct answer will be option A. This seems to be a trick question, because there is an error present in the options given based on the calculation we just made.