Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of

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Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks).

1.5 t (hours) 1.0 2.0 2.5 3.0 C(t) (mg/mL) 0.33 | 0.24 0.12 0.07 0.18 0.07


(a) Find the average rate of change of C with respect to t over each time interval:

(i) [1.0, 2.0]

(ii) [1.5, 2.0]

(iii) [2.0, 2.5] 

(iv) [2.0, 3.0]

In each case, include the units.

(b) Estimate the instantaneous rate of change at t = 2 and interpret your result. What are the units?

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