Suppose a cost-benefit model is given:
y= 5x/105-x
Where y is the cost in thousands of dollars of removing x percentage of a certain pollutant. Find the cost of removing each percent of pollutants: 0%, 45%
To find the cost of removing each percentage of pollutants, we can substitute the given values of x into the equation and calculate the corresponding values of y. Let's solve this step by step.
1. Start with the given equation: y = 5x / (105 - x).
2. To find the cost of removing 0% of pollutants, substitute x = 0 into the equation:
y = 5(0) / (105 - 0)
y = 0 / 105
y = 0
Therefore, the cost of removing 0% of pollutants is $0.
3. To find the cost of removing 45% of pollutants, substitute x = 45 into the equation:
y = 5(45) / (105 - 45)
y = 225 / 60
y = 3.75
Therefore, the cost of removing 45% of pollutants is $3,750 (since the equation is in thousands of dollars).
So, the cost of removing each percent of pollutants is $0 for 0% and $3,750 for 45%.