SOLUTION: In 1996 there were 3927 J.C. Penney stores and in 2000 there were 3800 stores. Write a linear equation that gives the number of stores in terms of the year. Let t=0 represent 1996.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1996 there were 3927 J.C. Penney stores and in 2000 there were 3800 stores. Write a linear equation that gives the number of stores in terms of the year. Let t=0 represent 1996.      Log On


   

Question 263443: In 1996 there were 3927 J.C. Penney stores and in 2000 there were 3800 stores. Write a linear equation that gives the number of stores in terms of the year. Let t=0 represent 1996. Then predict the numbers of stores for the years 2005 and 2010.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b WHERE m=SLOPE & b=THE Y INTERCEPT.
USING THE POINTS (0,3927) & (4,3800)
SLOPE=(3800-3927)/(4-0)
SLOPE=-127/4
SLOPE=-31.75
3927=-31.75*0+b
3927=b
b=3927
Y=mX+b
Y(9)=-31.75*0+3927
Y=-31.75X+3927
Y=-31.45*9+3927
Y=-285.75+3927
Y=3641.25 STORES IN 2005.
Y(14)=-31.75*14+3927
Y=-444.50+3927
Y=3482.5 STORES IN 2010