The milky way is held together by a blackholes gravitational force. since the stars near this blackhole move at a high spped what can you infer about the blackhole

You could infer that the black holes have such a strong gravitational pull that even the fastest thing in the world, light, can not escape its pull

Explanation:

if the hares very faster than they are now, and thus the lynx's hunting success rate drops because it will be harder to catch them, the rate that will change will be the pray-rate. the pray-rate will change because more hares will be able to survive, thus more individuals for reproduction, so the end result will be increasing population of hares.

the predator-rate will remain pretty much the same because there will be more than enough pray, but the hunting success rate is stagnant.