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 = k x/100 − x, where 0 ≤ x < 100, and k is a constant. The company has data that indicates that spending $360,000 will clean up 80% of an oil spill. A) Use this information to find the value of k. (Round your answer to 4 decimal places) [Hint: k will be a big number]

B) Use the model (and your value of k from part A) to predict the percentage of an oil spill that can be cleaned up if the company’s budget is $720,000. Round your answer to the nearest tenth.