Final answer:
The maximum possible value of a÷b, considering the rounded values of a and b, is 9.64.
Step-by-step explanation:
To find the maximum of a÷b, we need to consider the rounded values of a and b.
If a = 520 rounded to the nearest 10, the maximum possible value of a can be 530 (if rounded up).
If b = 54.9 rounded to 1 decimal place, the maximum possible value of b can be 55 (if rounded up).
Therefore, the maximum possible value of a÷b would be 530÷55, which equals 9.64 (rounded to 2 decimal places).