To determine which number is a multiple of 9, we should check if each number can be divided by 9 without leaving a remainder.
1. Check 16:
- Divide 16 by 9: [tex]\( \frac{16}{9} \approx 1.777 \)[/tex]
- Since 16 divided by 9 does not result in an integer, 16 is not a multiple of 9.
2. Check 35:
- Divide 35 by 9: [tex]\( \frac{35}{9} \approx 3.888 \)[/tex]
- Since 35 divided by 9 does not result in an integer, 35 is not a multiple of 9.
3. Check 72:
- Divide 72 by 9: [tex]\( \frac{72}{9} = 8 \)[/tex]
- Since 72 divided by 9 results in an integer (8), 72 is indeed a multiple of 9.
4. Check 98:
- Divide 98 by 9: [tex]\( \frac{98}{9} \approx 10.888 \)[/tex]
- Since 98 divided by 9 does not result in an integer, 98 is not a multiple of 9.
Based on this analysis, the number that is a multiple of 9 is:
C. 72
