Taxonomy menu and views

I've created a new content type, categorised the content type and I have a menu that shows just the content for the category selected.

For example
business_category/1 shows all businesses
business_category/1/5 shows all businesses within the Food category
business_category/1/5/6 shows all businesses within the Restaurant category which is within the Food category

I've created a view called business_directory_listings that lists businesses and set the path as business_category. The business_category URL gives me the correct view.

Can anyone tell me how to associate the business_directory_listings view to these types of URL?
business_category/1
business_category/1/5
business_category/1/5/6

Any help appreciated, thanks.