Concentration of a Medication The concentration C(t) (in milligrams per liter) of a medication in a patients blood is given by the data in the following table. Concentration of Medication in Patients Bloodt (h)00.250.500.751.001.251.501.752.002.252.502.75047.378.194.999.895.784.468.450.131.615.64.3C(t) (mg/L)Concentration (in milligrams per liter)Time (in hours)The average rate of change of the concentration over the timeinterval from to isUse the data in the table on page 236 to evaluate the averagerate of change for each of the following time intervals.a. (Hint: In this case, and .) Compare thisresult to the slope of the line through andb. c. d. e.f. The data in the table can be modeled by the function. Use to verify thatthe average rate of change over is given by. What does the average rate of changeover seem to approach as approaches 0?
Ma128 notes 2.3 addition and subtraction of whole numbers Two models Set model Number line (measurement ) model Set model A + B= N(a intersection b) Let a and b be any two whole numbers if a and b are disjoint sets a=n (a) and b =N(b) N= number of elements in (set A) On the number line whole numbers are geometrically interpreted as distance. Properties of whole numbers Property examples 8+3 = 3+8 commutative ( 7+5) + 8 = 7+ (5+8) associative A million plus a contrillian is not infinite closure 2.1 subtraction of whole numbers Let a and b be whole numbers the differneces of a and b A-B is the unique whole number c a-b=c A= minuend B= subtrahend C= difference For models for subtraction Take away Missing addend Comparison Number line Ex: t
