A hotel charges Php1,500 per night for a room during the tourist season from June 1 through September 15, and Php1,200 per night otherwise.

Question

Define a multiline function which describes these rates. f(x) is the cost for one night on date x

Answer 1

 f(x) =  { 1500 if  152 <= x <= 258,

 

             1200 otherwise 

            }   

 

   where x is the Julian Date.

   That is  x=1 is Jan 1,   X=2 is Jan 2, X=3 is Jan3, etc etc etc , 364 = Dec 30, 365 = Dec31

 

  THe only problem with this is that the directions limit the function to one variable, and if it is

   a leap year, then this function will not work. You need a second variable to detect whether

or not the year is a leap year.

 

A better way to do it with two variables is like this:

 

 f (   M, D) =  {     1500    if   (6 <= M <=8) OR   ((M=9) AND ( 1 <=D < =15)),

                            1200 otherwise

                   }

 

  where M is the month and D is the day