Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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1. An oil company estimates that the cost, \( C \), in dollars, of cleaning up \( x \) percent of an oil spill can be modeled by the equation 
\[ C = \frac{kx}{100-x} \]
where \( 0 \leq x < 100 \), and \( k \) is a constant. The company has data that indicates that spending $300,000 will clean up 70% of an oil spill.

   a. Use this information to find the value of \( k \).

   b. Use the model to predict the percentage of an oil spill that can be cleaned up if the company’s budget is $900,000.
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Transcribed Image Text:1. An oil company estimates that the cost, \( C \), in dollars, of cleaning up \( x \) percent of an oil spill can be modeled by the equation \[ C = \frac{kx}{100-x} \] where \( 0 \leq x < 100 \), and \( k \) is a constant. The company has data that indicates that spending $300,000 will clean up 70% of an oil spill. a. Use this information to find the value of \( k \). b. Use the model to predict the percentage of an oil spill that can be cleaned up if the company’s budget is $900,000.
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