Question

The cost, C, in United States Dollars ($), of cleaning up x percent of an oil spill along the Gulf Coast of the United States increases tremendously as x approaches 100. One equation for determining the cost (in millions $) is:

Answer 1

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Answer:

The value of k is
`k = 214285.7`

The percentage of the oil that will be cleaned is
`x = 80.77\%`

Explanation:

From the question we are told that

The cost of cleaning up the spillage is
`C = ( k x )/(100 - x )`
`x \le x \le 100`

The cost of cleaning x = 70% of the oil is
`C = \$500,000`

Now at
`C = \$500,000` we have

`\$ 500000 = ( k * 70 )/(100 - 70 )`

`\$ 500000 = ( k * 70 )/(30 )`

`\$ 500000 = ( k * 70 )/(30 )`

`k = 214285.7`

Now When
`C = \$900,000`

`x = 80.77\%`