the cost, in millions of dollars to remove x% of pollution from a smokestack is expressed as:
c=2300/135-1.35x
what is the cost to remove 70% and also 99%
Is it?
c = (2300/135)-1.35x
or
c = 2300/(135-1.35x)
c = 2300/(135-1.35x)
To find the cost to remove a specific percentage of pollution from the smokestack, we can substitute the given percentage into the equation for cost.
Given:
c = 2300 / (135 - 1.35x)
1. Cost to remove 70%:
To find the cost to remove 70% of pollution, substitute x = 70 into the equation:
c = 2300 / (135 - 1.35(70))
c = 2300 / (135 - 94.5)
c = 2300 / 40.5
c ≈ 56.79 million dollars
Therefore, the cost to remove 70% of pollution is approximately 56.79 million dollars.
2. Cost to remove 99%:
To find the cost to remove 99% of pollution, substitute x = 99 into the equation:
c = 2300 / (135 - 1.35(99))
c = 2300 / (135 - 133.65)
c = 2300 / 1.35
c ≈ 1703.70 million dollars
Therefore, the cost to remove 99% of pollution is approximately 1703.70 million dollars.