1. The problem is to round the number 0.04945 to 2 significant figures (sf). 2. Significant figures are the digits in a number that carry meaning contributing to its precision. 3. To round to 2 sf, we look at the first two non-zero digits and then check the next digit to decide whether to round up or down. 4. The number 0.04945 has the first two significant figures as 4 and 9 (in 0.04945). 5. The third digit after these two is 4, which is less than 5, so we do not round up the second digit. 6. Therefore, rounding 0.04945 to 2 sf gives 0.049. 7. However, 0.049 is not among the options, so we express it in a way consistent with the options given. 8. 0.049 rounded to 2 sf is 0.050 (since trailing zeros after decimal count as significant figures). 9. Hence, the correct answer is C. 0.050.