"My family always had a dog or two when I was growing up. It was my responsibility to feed and walk our family pet. At this time, I do not have any pets in my personal care. I work far too much to make it fair for any animal in my care. As an Animal Control worker, I am happy to spend my days caring for the precious pets of others!"
The interviewer would like to know more about your personal experience when it comes to caring for pets. Talk about any pets that you may have had while growing up, and any pets that you care for now. Keep your answer brief but be sure to express enthusiasm for being a pet owner!
If you are not a pet owner, that is totally okay! Let the interviewer know this but still be sure to express your enthusiasm for animals.
"I want to work for Animal Control because I believe it to be a very important function of law enforcement. My passion for helping animals made the choice an obvious one."
Similar to the question on why you believe Animal Control to be an important profession - be ready to share with the interviewer your thoughts on why this is the profession for you. Perhaps you have a passion for the welfare of animals. Maybe you are interested in some form of law enforcement, but being a police officer is not for you. Whatever your reasoning may be, ensure that the interviewer knows that you have a passion for this career and that you plan to maintain this career path for the long term.