
Christopher S. answered 07/12/19
Professionally Trained Math and Physics Tutor
This is a bit of a strange question, but it seems that we want the number of seconds as a function of the number of days. So, we want s(d). To find this we know that there are 24hrs in a day, 60 min in an hr, and 60 s in a min. or in terms of rates:
24 hrs/day
60 min/hr
60 s/min
To get the number of seconds we just need to cancel all units except for s:
s(d) = 60*60*24 * (s/min * min/hr * hr/day) This is incomplete
we see in this expression that all the units cancel except for s and day, therefore we need to multiply by the number of days to get the number of seconds:
s(d) = 60*60*24*d = 86,400*d
and we have our function that represents the number of seconds in d days.