SOLUTION: Food-stamp program participation. Participation in the U.S. food-stamp program grew from approximately 17.1 million people in 2000 to approximately 23 million in 2004 Calculate t

Algebra ->  Linear-equations -> SOLUTION: Food-stamp program participation. Participation in the U.S. food-stamp program grew from approximately 17.1 million people in 2000 to approximately 23 million in 2004 Calculate t      Log On


   

Question 387415: Food-stamp program participation. Participation in the U.S. food-stamp program grew from approximately 17.1 million people in 2000 to approximately 23 million in 2004
Calculate the number of participants in 2001.
b) Predict the number of participants in 2010.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Basically, you need to find the equation
N+=+f%28Y%29, where N is the number of participants
for a given year, and Y is that year
--------------------
You want to plot N on the vertical axis
You want to plot Y on the horizontal axis
Assume the relation between N and Y is linear
given:
17.1+=+f%280%29
23+=+f%284%29
Note that I'm saying 2000+=+0
The slope will be %2823+-+17.1%29%2F%284+-+0%29+=+4.9%2F4
5.9%2F4+=+1.475
So, the equation is:
N+=+1.475Y+%2B+17.1
(a)
N%281%29+=+1.475%2A1+%2B+17.1
N%281%29+=+18.575
There are 18,575,000 participants in 2001
(b)
N%2810%29+=+1.475%2A10+%2B+17.1
N%2810%29+=+14.75+%2B+17.1
N%2810%29+=+31.85
There will be 31,850,000 participants in 2010
Here's the plot:
+graph%28+400%2C+400%2C+-1%2C+12%2C+-4%2C+40%2C+1.475x+%2B+17.1%29+