The tire would not burst (352.75 < 800)
Gay Lussac's Law
When the volume is not changed, the gas pressure is proportional to its absolute temperature
[tex]\rm \dfrac{P1}{T1}=\dfrac{P2}{T2}[/tex]
P1= 220 psi
T1=22+273 = 295 K
T2=200 + 273 = 473 K
[tex]\tt \dfrac{220}{295}=\dfrac{P_2}{473}\\\\P_2=\dfrac{220\times 473}{295}=352.75~psi[/tex]