For some painkillers, the size of the dose depends on the weight of the patient. If we set x to denote the weight of patients, in pounds, and y to denote the size of a specific painkiller, in milligrams, then the function y = g(x) represents the relationship between the weight x of the patient and the size of the dose, y. a) Interpret, in English, the meaning of g(140) = 120. b) Interpret, in English, the meaning of g (140) = 3 (the derivative function at x = 140 is 3). c) Considering the inputs x of the function are measured in pounds and the outputs y = g(x) are measured in milligrams, what are the units (of measurement) of the derivative function? d) Write down the equation of the tangent line to the graph of y= g(x) at the pointP (140, 120), and use the slope of the tangent line to give a (rough) estimate of the output g(145)=? Explain in carefully chosen words, all your answers to the above questions.