If 97.52 is divided by 2.54, the correct result in terms of significant figures is

The correct option is 38.4.

To find the correct result of dividing 97.52 by 2.54 in terms of significant figures, we follow the rules of significant figures for division:

Step 1: Identify the number of significant figures in the given values.
- The number 97.52 has 4 significant figures (9, 7, 5, and 2).
- The number 2.54 has 3 significant figures (2, 5, and 4).

Step 2: Perform the calculation.

Let us carry out the division:
$\frac{97.52}{2.54}\approx 38.3937$

Step 3: Round the result to the correct number of significant figures.
For multiplication and division, the final result must be rounded to the same number of significant figures as the measurement with the fewest significant figures.
Here, 2.54 has 3 significant figures, which is fewer than the 4 significant figures in 97.52. Therefore, the result must be rounded to exactly 3 significant figures.

Rounding 38.3937 to 3 significant figures:
- The first three significant digits are 3, 8, and 3.
- The fourth digit is 9, which is greater than or equal to 5. This requires us to round up the third digit (3) to 4.

Thus, the final correct result is 38.4.