To find the number of students who are graduated from 1970 to 2006 use synthetic substitution to evaluate for
.
.
Dividend is .
Divisor is .
Since number of years between 1970 - 2006 is , the value of
.
Now perform the synthetic substitution method.
\
The remainder is , so
.
Check the answer using direct substitution :
\.
.
.
.
Therefore, rounded to the nearest thousand students graduated in 2005.