Model the situation with a dynamical system. Use your model to answer the question.You take a 259-mg dose of an antibiotic every 5 hours. Your body eliminates 44% of the drug in a  period. How much antibiotic will be in your bloodstream after two doses?

A. Dn+1 = 0.56Dn + 259, n = 0, 1, 2, ..., where D0 = 0; 404.04 mg
B. Dn+1 = 56Dn + 259, n = 0, 1, 2, ..., where D0 = 0; 14,763.00 mg
C. Dn+1 = 0.44Dn + 259, n = 0, 1, 2, ..., where D0 = 0; 372.96 mg
D. Dn+1 = 0.56Dn + 259, n = 0, 1, 2, ..., where D0 = 259; 663.04 mg


Answer: A

Mathematics

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