Question| Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in hours. The function D(x) =10log(x+1)+5 models the concentration of metronidazole in mol/L over a time x, in hours. a) Which of the two drugs has a higher initial concentration in the blood stream? Justify your answer with an explanation. b) Determine when C(x)= D(x) algebraically and state what this represents in this situation. c) If Mathews is instructed to take both antibiotics at once the concentration levels could be modeled by the function (C + D)(x) . How would the graph of (C + D)(x) differ from the individual graphs of C(x) and D(x) ? Explain.

Question| Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in hours. The function D(x) =10log(x+1)+5 models the concentration of metronidazole in mol/L over a time x, in hours. a) Which of the two drugs has a higher initial concentration in the blood stream? Justify your answer with an explanation. b) Determine when C(x)= D(x) algebraically and state what this represents in this situation. c) If Mathews is instructed to take both antibiotics at once the concentration levels could be modeled by the function (C + D)(x) . How would the graph of (C + D)(x) differ from the individual graphs of C(x) and D(x) ? Explain.

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Description: The question is in the image Question|Both antibiotics were prescribed in high dosage slow release capsules. Thefunction C(x) = 5 log(x+1)+10 models the concentration of levofloxacin in mol/Lover a time x, in hours. The function D(x)=10log(x+1) +5 mo

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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