Here's why:
* Gay-Lussac's Law states that the pressure of a gas is directly proportional to its absolute temperature when the volume and the amount of gas are held constant.
* In a tire, the volume and amount of air are essentially fixed. As the temperature increases, the air molecules inside the tire move faster and collide with the tire walls more frequently and with greater force. This increased collision rate leads to a higher pressure inside the tire.
Important Note: While Gay-Lussac's Law describes the relationship between temperature and pressure, it's crucial to remember that the pressure inside a tire also depends on other factors like the tire's volume, the amount of air, and the altitude.