Boyle's Law is a principle that describes the relationship between the pressure and volume of a gas. The relationship between pressure and volume was brought to the attention of Boyle by Richard Towneley and Henry Power, who discovered it. Boyle confirmed their discovery through experiments and published the results. Hooke was Boyle's assistant and he was the one who built the experimental apparatus which helped quantify the law.
The popping of a balloon is a real world example of Boyle's Law. When we try to squeeze a balloon we are actually trying to reduce the volume of the gas inside, which increases the pressure. Since the balloon cannot withstand the added pressure, it bursts.