exam Maths Puzzle Numerical Ability

I need help on how to write the statements and reasons for this proof

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THE COST OF A FIELD TRIP IS $280 PLUS $5 PER STUDENT. THE SCHOOL CAN SPEND AT MOST $500 ON THE FIELD TRIP. HOW MANY STUDENTS ARE ABLE TO GO ON THE FIELD TRIP? I hope I am in the right section but I am completly loss with this.

If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0.

a. (-infinity,0)U(4,inf