It is a discrete, quantitative variable.
It is quantitative because it makes sense to think about the average number of times a person eats a snack during a day.
It is discrete because there are a countable number of possible values. If we consider the range of 0 to 10 snacks per day, there are only 11 possible values. This contrasts to continuous quantitative variables. If we consider the lengths of blades of grass. If we consider the range of 1 to 10 inches, there are an infinite number of possible values. We could have a blade that is 5 inches, 5.1 inches, 5.11 inches and so on. With continuous variables, we can keep dividing our measurement scale into smaller and smaller increments so that there are an infinite number of possible values in any interval.
It is important to know the difference between categorical and quantitative variables and then the difference between discrete and continuous quantitative variables.
Please let me know if you have any questions.