SOLUTION: dina planted an eight foot tree in her backyard which she expects to grow at a rate of 4 feet per year. Determine th eequation of the line that shows how tall the tree will be each

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: dina planted an eight foot tree in her backyard which she expects to grow at a rate of 4 feet per year. Determine th eequation of the line that shows how tall the tree will be each      Log On


   

Question 749236: dina planted an eight foot tree in her backyard which she expects to grow at a rate of 4 feet per year. Determine th eequation of the line that shows how tall the tree will be each year.
Please help solve this problem !
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the height in feet on the vertical axis and time
in years on the horizontal axis.
The general form of the equation will be
+h+=+m%2At+%2B+b+
+m+ = slope
+b+ = h-intercept
--------------------------
Call the time +t+=+0+ when she plants the tree.
You now have the point ( 0,8 )
This is the h-intercept
The slope of the line is the rate of growth of the tree
+m+=+4+
So, the equation is
+h+=+4t+%2B+8+