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). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.34 0.26 0.19 0.12 0.08 (a) Find the average 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] (b) Estimate the instantaneous rate of change at t = 2.

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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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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). (Round your answers to two decimal places.)
t (hours)
1.0
1.5
2.0
2.5
3.0
C(t) (mg/mL)0.34 0.26 0.19 0.12 0.08
(a) Find the average 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]
(b) Estimate the instantaneous rate of change at t = 2.
Transcribed Image Text: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). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL)0.34 0.26 0.19 0.12 0.08 (a) Find the average 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] (b) Estimate the instantaneous rate of change at t = 2.
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