Problema Solution
I) The number of Ski-Resorts in the United States has been declining steadily and can be approximated with the following equation:
Y = -3.14x + 502
where x = 2 corresponds with the year 2002.
a) How many Ski-Resorts were there in 2007?
b) If that trend holds indefinitely, in what year will there be 460 Ski-Resorts?
Answer provided by our tutors
a) since x = 2 corresponds to 2002 then x = 7 will correspond to 2007 and we will have
Y (7) = - 3.14*7 + 502 = 480.02 Ski-Resorts in the year of 2007
b) let x be the year when Y(x) = 460 Ski-Resorts that is
- 3.14x + 502 = 460
x = (460 - 502)/(-3.14)
x = 13.36
13.36 corresponds to 2013.36
that is in the year of 2013.36 there will be 460 Ski-Resorts.