SOLUTION: 2004 the average American ate 57 pounds of chicken, and in 2010 this amount increased to 60 pounds. Find the slope, m, of the line that models the yearly consumption of chic

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 2004 the average American ate 57 pounds of chicken, and in 2010 this amount increased to 60 pounds. Find the slope, m, of the line that models the yearly consumption of chic      Log On


   



Question 1107819: 2004 the average American ate 57 pounds of chicken, and in 2010
this amount increased to 60 pounds.
Find the slope, m, of the line that models the yearly consumption of
chicken for all Americans.
Use a complete sentence to interpret the value of m.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
In 6 years (x value)
what is dependent (y-axis) is chicken eaten.
That went up 3 pounds in 6 years or 0.5 pound a year
slope is therefore 0.5
point slope formula y-y1=m(x-x1) m slope, (x1, y1) point and we have (2004, 57) and (2010, 60)
y-57=(0.5)(x-2004)
y=0.5x-1002+57
y=0.5x-945, where x is the year
OR
make it years since 2000, so (4, 57) and (10, 60)
y-57=0.5(x-4)
y=0.5x+55
m is 0.5 and represents the increase in chicken eaten per pound per person per year.