It's basically logic. When the temperature goes up, the particles have more kinetic energy and thus they collide with the walls more and cause an object to expand (increase in volume). When moles increase, volume would definitely increase since the more particles of gas you put into an object, the more space these particles have to take up. And pressure decreases when volume increases because it takes the gas particles longer to collide with the walls of the container which means a decrease in pressure.
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