What we know: 1/6 = what Cody wathed 1 stands for the unit that cody has watched a move (minutes) 6 = stands for the entire length of the movie (minutes)
Tharefore: If 6 stands for the entire length of the movie the movie is equal to 3 hours. However we are giving the unit in minutes not in hours, it would be: 3 x 60 = 3 stands for the ours 60 stands for minutes in an hour. That equals to 180. This means that the 6 = 100% = 180min of the movie.
To figure what 1 stands for we need to divide 1/6. That will equal to 0.1(6). 0.1(6) x 180 (minutes of the entire movie) = 30 which would be the answer. Here is what you should have done using mathematical communication:
converting 3 h to minutes:
3 x 60 = 180 minutes 180 = the length of the entire movie 1/6 = 0.1(6) 0.1(6) x 180 = 30 ... 30 /180 is the fraction of minutes that Cody spend watching the movie in other words Cody just spent 30 min watching the movie.
An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term So... f(x)=mx+b m=common difference b=starting point f(11)=125=11m+b - f(1)=5=1m+b -------- 120=10m Divide both sides by 10 12=m Your common difference is 12.
