Question 1047245
 The average SAT mathematics scores of incoming students at an eastern liberal arts college have been declining in recent years. 
In 2006, the average SAT score was 590; in 2012, it was 560. 
-----------------------
Assuming the average SAT score varies linearly with time, answer these questions.
(a) Express the average SAT score in terms of time measured from 2006. (Use the following as necessary: S for the average SAT score and t for the time measured from 2006.)
Ans: (560-590)/6 = -5 per year
S(t) = 590-5t
---------- 
(b) If the trend continues, what will the average SAT score of incoming students be in 2024?
t = 18
S(18) = 590-5*18 = 590-90 = 500
-------------------- 
(c) When will the average SAT score be 490? 
Solve for "t";;
490 = 590-5t
-100 = -5t
t = 20 years
Ans: 2006 + 20 years = 2026
--------------------
Cheers,
Stan H.
-------------