SOLUTION: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square

Algebra ->  Graphs -> SOLUTION: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square      Log On


   



Question 181127: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square feet. Spruce trees cost $60 to plant and require 600 square feet of space. Maple trees cost $40 to plant and require 900 square feet of space. Spruce trees absorb 650lb/yr of carbon dioxide. maple trees absorb 300lb/yr of carbon dioxide.
1) write the two inequalities for this problem.
2) graph both on the same coordinate grid.
I have no idea where to start. Are the two inequalities the amount of space used and the ampunt of CO2 absorbed? Please help....

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Trees in urban areas help keep air fresh by absorbing carbon dioxide.
A city has $2100 to spend on planting spruce and maple trees.
The land available for planting is 45,000 square feet.
Spruce trees cost $60 to plant and require 600 square feet of space.
Maple trees cost $40 to plant and require 900 square feet of space.
Spruce trees absorb 650lb/yr of carbon dioxide.
maple trees absorb 300lb/yr of carbon dioxide.
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Write the two inequalities for this problem.
Value Inequality: 60s + 40m <= 2100
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Area Inequality: 600s + 900m <= 45,000
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Rearrange the inequalities for graphing:
Let m be the independent variable:
s <= (-2/3)m + 35
s <= (-3/2)m + 75
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graph%28400%2C300%2C-10%2C30%2C-10%2C100%2C%28-2%2F3%29x%2B35%2C%28-3%2F2%29x%2B25%29
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Cheers,
Stan H.





2) graph both on the same coordinate grid.