Solve the problem.The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of M'(1) and M'(6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values.
A. M'(1) = -140, M'(6) = -3; The amount of medication in the bloodstream is decreasing at a rate of 140 mg/hr at t = 1 hour, and is decreasing at a rate of 3 mg/hr at t = 6 hours.
B. M'(1) = -54, M'(6) = -8; The amount of medication in the bloodstream is decreasing at a rate of 54 mg/hr at t = 1 hour, and is decreasing at a rate of 8 mg/hr at t = 6 hours.
C. M'(1) = -28, M'(6) = -2; The amount of medication in the bloodstream is decreasing at a rate of 28 mg/hr at t = 1 hour, and is decreasing at a rate of 2 mg/hr at t = 6 hours.
D. M'(1) = -92, M'(6) = -6; The amount of medication in the bloodstream is decreasing at a rate of 92 mg/hr at t = 1 hour, and is decreasing at a rate of 6 mg/hr at t = 6 hours.
Answer: B
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