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

Complete Question

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Answer:

The value of k is  $k = 214285.7$

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

Step-by-step explanation:

From the question we are told that

   The  cost of cleaning up the spillage is  $C = \frac{ k x }{100 - x }$  $x \le x \le 100$

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

   

Now at  $C = \ 500,000$ we have  

       $\ 500000 = \frac{ k * 70 }{100 - 70 }$

       $\ 500000 = \frac{ k * 70 }{30 }$

      $\ 500000 = \frac{ k * 70 }{30 }$

      $k = 214285.7$

Now  When  $C = \ 900,000$

       $x = 80.77\%$