This is my first question, I apologize if it is too lay or unscientific for this site. 

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If a baseball is dropped on a trampoline, the point under the object will move a certain distance downward before starting to travel upward again.  If a bowling ball is dropped, it will deform further downwards.  What is the nature of the relationship between the magnitude of this deformation and the object's mass?   Linear?  Square?  etc.

**Edit:**
I would like to add that the heart of what I'm asking is along the lines of this:  "If a small child is jumping on a trampoline and the trampoline depresses 25% towards the ground, would an  adult who weighs slighly less than four times as much be safe from depressing it all the way to the ground?"