If the kennel cares for 9 dogs and this number is three times the number of cats, we can set up the following equation:
Let \( c \) represent the number of cats.
According to the information given:
\[ 3c = 9 \]
To find the number of cats, divide both sides by 3:
\[ c = \frac{9}{3} = 3 \]
So, there are 3 cats at the kennel that day.
The correct answer is 3 cats.