SOLUTION: you can use the function b=-0.01t^2 + 0.8t to find the number of bushels b of walcuts produced on an acre of land. The variable t represents the number of trees per acre Graph t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: you can use the function b=-0.01t^2 + 0.8t to find the number of bushels b of walcuts produced on an acre of land. The variable t represents the number of trees per acre Graph t      Log On


   



Question 433099: you can use the function b=-0.01t^2 + 0.8t to find the number of bushels b of walcuts produced on an acre of land. The variable t represents the number of trees per acre
Graph this function. What number per acre gives the greatest yield?
How many walnut trees would you advise a farmer to plant on 5 acres of land? Explain you reasoning?

Answer by lwsshak3(11628) About Me  (Show Source):
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you can use the function b=-0.01t^2 + 0.8t to find the number of bushels b of walcuts produced on an acre of land. The variable t represents the number of trees per acre
Graph this function. What number per acre gives the greatest yield?
How many walnut trees would you advise a farmer to plant on 5 acres of land? Explain you reasoning?
..
b= -0.01t^2 + 0.8t
b=-.01(t^2+80t+1600)+16
b=-.01(t+40)^2+16 (This is a parabola of the form, y=(x-h)^2+k, (h,k) being the (x,y) coordinates if the vertex.) This given equation shows that the maximum yield of 16 bushels per acre is attained when the number of trees per acre=40. Since 40 trees per acre gives the maximum yield, I would advise a farmer to plant about 200 trees on 5 acres of land.
See the graph of this function below:
..
+graph%28+300%2C+300%2C+-100%2C+100%2C+-50%2C+50%2C-0.01x%5E2+%2B+0.8x%29+