Final answer:
To round 4,892.046 to the nearest cent, we look at the thousandths place (6 in this case). Because it is greater than 5, we round up the hundredths place from 04 to 05, resulting in 4,892.05 which is answer A).
Step-by-step explanation:
The student is asking to round the number 4,892.046 to the nearest cent. When rounding to the nearest cent, we look at the digit in the thousandths place to decide whether to round up or stay the same.
In 4,892.046, the thousandths digit is 6, which is greater than 5, so we round up.
The hundredths place goes up by one, turning from 04 to 05, making the rounded number 4,892.05.
Therefore, the correct answer to the question is: A) 4,892.05.