Answer: True
Step-by-step explanation:
The Market Area that a Centre will serve is directly related to its size. This is because the larger the size of a Centre, the more services it offers that will bring people from further to it.
Services range from low level to high level. High level services bring people from further away while low level services are mostly for people in the area.
A large centre will have more High level services offered and so will serve people from further as opposed to a small centre that will have more low level services which will serve people in it's vicinity.
Think about Neighbourhood stores vs large Shopping Complexes.