Demographics: One common use of the floor function is the reporting of ages. As of 2007,...

Demographics: One common use of the floor function is the reporting of ages. As of 2007, the record for longest living human is 122 yr, 164 days for the life of Jeanne Calment, formerly of France. While she actually lived years, ages are normally reported using the floor function, or the greatest integer number of years less than or equal to the actual age: = 122 years. (a) Write a function A(t) that gives a person’s age, where A(t) is the reported age at time t. (b) State the domain of the function (be sure to consider Madame Calment’s record). Report the age of a person who has been living for (c) 36 years; (d) 36 years, 364 days; (e) 37 years; and (f) 37 years, 1 day.