Suppose that for a certain city the cost C, in dollars, of obtaining drinking water that contains p percent impurities (by volume) is given by C = 120,000 1200. (a) Find the rate of change of cost with respect to p when impurities account for 1% (by volume). (b) Write a sentence that explains the meaning of your answer in part (a). O If impurities decrease 1%, the cost will decrease by the absolute value of this amount. O If impurities increase 1%, the cost will increase by the absolute value of this amount. O If impurities increase by this percent, the cost will decrease by $10,000. O If impurities increase 1%, the cost will decrease by the absolute value of this amount. O If impurities increase by this percent, the cost will increase by $10,000.

Suppose that for a certain city the cost C, in dollars, of obtaining drinking water that contains p percent impurities (by volume) is given by C = 120,000 1200. (a) Find the rate of change of cost with respect to p when impurities account for 1% (by volume). (b) Write a sentence that explains the meaning of your answer in part (a). O If impurities decrease 1%, the cost will decrease by the absolute value of this amount. O If impurities increase 1%, the cost will increase by the absolute value of this amount. O If impurities increase by this percent, the cost will decrease by $10,000. O If impurities increase 1%, the cost will decrease by the absolute value of this amount. O If impurities increase by this percent, the cost will increase by $10,000.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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