The number of ninutes of daylight during a day, L(t), at 40 North latitude is modeled by the function L(t)=167.5sin(3652,80.75))+731 where t is the number of days after the beginning of the year 2019 . (Note: For January 1.2019, t=1 : and for December 31, 2019, t=365.) Which of the following is the correct interpretation of L(364) ? (A) The number of ninutes of daylight is increasing by 1.760 minutes per day on December 30,2019. (B) The rate at which the number of minutes of daylight is increasing by 0.469 minutes per day per day on December 30, 2019 (C) The number of ainutes of daylight is increasing by 0.469 minutes per day on December 30,2019. (D) The number of nimutes of daylight is decreasing by 0.469 minutes per day on December 30,2019. Rock salt is being poured into a bin that is imitially empty. During the work day, for 0t8 hours, the rock salt is being poured into the bin at a rate given modeled by S(t)=t3+404500 cubic meters per hour. After 1 hour, 1t8, the rock salt is being removed from the bin at a rate modeled by R(t)=24.925t cubic meters per lour: Which of the following best explains what S(5)R(5) means in the context of the problem? (A) The rate ar which the rock salt is leaving the bin is decreasing by 28.641m3/hr2 a time t=5 hours. (B) The a mount of rock salt in the bin is decreasing by 28.641m3/hr a time t=5 hours. (C) The rate at which the rock salt is entering the bin is decreasing by 33.781m3/hr2 a time t=5 hours. (D) The amount of rock salt in the bin is approximately 28.641m3 when time t=5 hours