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).

(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?

Transcribed Image Text:

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