\"\"

\

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.