Continuity and Intermediate Value Theorem1.[P] TrueorFalse: LetP(t) =the cost of parking in New York City’s parking garagesforthours. So,P(t) = $20 per hour or fraction thereofFor example, if you are in the garage for two hours and one minute, you pay $60.Ift0closely approximates some time,T, thenP(t0) closely approximatesP(T).Beprepared to justify your answer.2.[Q]A drippy faucet adds one milliliter to the volume of water in a tub at precisely onesecond intervals. Letfbe the function that represents the volume of water in the tubat timet.