A motorist fills his car tires to 32 lb/in^2 pressure at a temperature of 30°C.

Because the volume is not changing (constant) the pressure varies in a ratio of their temperatures (in Kelvin units).

Keep the numerator and denominator units parallel in the ratio because the the RELATIONSHIP between Pressure and Temperature is DIRECT.
{Learn these relationships and you can then solve any question of this type}.

P1/P2 = T1/T2

32 lb/in^2/ P2 =  (30C+273)/(78C+273)

{I don't like to solve for denominator variables so I always invert before solving. It eliminates inversion errors common to these problems.}

P2 / 32 lb/in^2 =  (78C+273) / (30C+273) Simplify next.

P2 / 32 lb/in^2 = 351 K / 303 K  simplify
P2 / 32 lb/in^2 = 1.16   now solve for P2 {notice K cancels}

P2 = 1.16 x 32 lb/in^2

P2 = 37 lb/in^2  {rounding to appropriate sig. Digits}

ALWAYS double check the answer against your EXPECTED change.
When T increases, P increases.  Did the P increase as expected?  Yes, consequently you solved the question correctly.