Question 55258
If the number of students majoring in computer scince at York College was 180 in 2002 and 210 in 2005 and if this number increases linearly each year, what will be the approximate number of students majoring in computer scince at york college

a) in the year 2008?
  (hint: let the x-coordinate of each point represent the year and the y-cordinate represent the computer schince enrolment)
First use (x1,y1)=(2002,180) and (x2,y2)=(2005,210)  to find the slope of the line using the slope formula:  {{{highlight(m=(y2-y1)/(x2-x1))}}}
{{{m=(210-180)/(2005-2002)}}}
{{{m=30/3}}}
{{{m=10}}}
Use m=10 and (x1,y1)=(2002,180) to find the equation of the line using the point slope formula:{{{highlight(y-y1=m(x-x1))}}}
{{{y-180=10(x-2002)}}}
{{{y-180=10x-20020}}}
{{{y-180+180=10x-20020+180}}}
{{{highlight(y=10x-19840)}}}
Let x=2008
{{{y=10(2008)-19840}}}
{{{y=20080-19840}}}
{{{highlight(y=240)}}}
:
b)in the year 2012?
Let x=2012
{{{highlight(y=10x-19840)}}}
{{{y=10(2012)-19840}}}
{{{y=20120-19840}}}
{{{highlight(y=280)}}}
Happy Calculating!!!