SOLUTION: 1.The amount of copper ore produce from a copper mine in Arizona is modeled by the function (x)=200+32x Where x is the number of year's since 2005, and f(x) is measured in thousan

Algebra ->  Functions -> SOLUTION: 1.The amount of copper ore produce from a copper mine in Arizona is modeled by the function (x)=200+32x Where x is the number of year's since 2005, and f(x) is measured in thousan      Log On


   

Question 1188552: 1.The amount of copper ore produce from a copper mine in Arizona is modeled by the function (x)=200+32x
Where x is the number of year's since 2005, and f(x) is measured in thousands of tons.
a. Sketch the graph of f.
b. What is slope of the graph?
c. At what rate is the amount of ore produced changing?
2. Find two positive real numbers whose sum is 40 and who's product is maximum.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=32x+200, the slope in this form is the number in front of x or 32, which is the rate of change per year or a positive 32000 tons per year.
graph%28300%2C300%2C-5%2C7%2C-50%2C400%2C32x%2B200%29
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The product is maximum when the numbers are the same, or 20. The product will be 400.
Similarly numbers that add up to 150 have a maximum product when the numbers are the same, or 75.