SOLUTION: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by {{{C=6000/(200-2x)}}}
a. What is the cost to remove 75% of the pollutant?
b. What is t
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Question 140635: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by
a. What is the cost to remove 75% of the pollutant?
b. What is the cost to remove 90 % of the pollutant?
c. What is the cost to remove 99% of the pollutant?
d. For what value is this equation undefined?
e. Do the answers to sections a–d match your expectations? Why or why not?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Start with the given equation
Plug in x=75
Multiply
Subtract
Divide
So the cost is 120 million dollars to remove 75% of the pollutant (remember C is in millions of dollars)
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b)
Start with the given equation
Plug in x=90
Multiply
Subtract
Divide
So the cost is 300 million dollars to remove 90% of the pollutant (remember C is in millions of dollars)
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c)
Start with the given equation
Plug in x=99
Multiply
Subtract
Divide
So the cost is 3,000 million dollars, or 3 billion dollars, to remove 99% of the pollutant (remember C is in millions of dollars)
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d)
Start with the given equation
Set the denominator equal to zero. Remember, dividing by zero is undefined.
Add 2x to both sides
Divide both sides by 2
So when this means that the entire denominator will be equal to zero. So makes the equation undefined.
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e)
It's entirely plausible since it becomes harder and harder to clean 100% of the mess.
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