Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour afte drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.31 0.22 0.16 0.1 0.06 (a) Find the average change of C with respect to t over each time interval. (1) [1.0, 2.0] (ii) [1.5, 2.0] (iv) [2.0, 3.0] [2.0, 2.5] (b) Estimate the instantaneous rate of change at t = 2. What are the units? h mg/mL mL/mg h h O mg/mL
Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour afte drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.31 0.22 0.16 0.1 0.06 (a) Find the average change of C with respect to t over each time interval. (1) [1.0, 2.0] (ii) [1.5, 2.0] (iv) [2.0, 3.0] [2.0, 2.5] (b) Estimate the instantaneous rate of change at t = 2. What are the units? h mg/mL mL/mg h h O mg/mL
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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) 0.31 0.22 0.16 0.1 0.06
(a) Find the average change of C with respect to t over each time interval.
(1)
[1.0, 2.0]
(ii) [1.5, 2.0]
(iv) [2.0, 3.0]
(b) Estimate the instantaneous rate of change at t = 2.
[2.0, 2.5]
What are the units?
h
mg/mL
mL/mg
h
h
O mg/mL
mg/mL
h
h
mL/mg](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e533fec-51fd-4870-9b3f-7eb1d9840991%2Fd4650adb-f933-4e96-a0ca-463f30b6a75f%2F96jit8iq_processed.png&w=3840&q=75)
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) 0.31 0.22 0.16 0.1 0.06
(a) Find the average change of C with respect to t over each time interval.
(1)
[1.0, 2.0]
(ii) [1.5, 2.0]
(iv) [2.0, 3.0]
(b) Estimate the instantaneous rate of change at t = 2.
[2.0, 2.5]
What are the units?
h
mg/mL
mL/mg
h
h
O mg/mL
mg/mL
h
h
mL/mg
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