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). Selected values of C(t) are given in the table. (Round your answers to two decimal places.) 2.0 ☐ 2.5 3.0 t (hours) 1.0 1.5 C(t) (g/dL) 0.34 0.25 0.19 0.13 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 and interpret your result. What are the units? O O O O h dL/g dL/g h h g/dL g/dL g/dL h
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). Selected values of C(t) are given in the table. (Round your answers to two decimal places.) 2.0 ☐ 2.5 3.0 t (hours) 1.0 1.5 C(t) (g/dL) 0.34 0.25 0.19 0.13 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 and interpret your result. What are the units? O O O O h dL/g dL/g h h g/dL g/dL g/dL h
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
Question
![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). Selected values of C(t) are given in the table. (Round your answers to two decimal places.)
2.0 ☐ 2.5 3.0
t (hours)
1.0
1.5
C(t) (g/dL) 0.34
0.25 0.19 0.13 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 and interpret your result.
What are the units?
O O O O
h
dL/g
dL/g
h
h
g/dL
g/dL
g/dL
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6a0ed01-dc7e-4fee-9bdd-27c695376c3b%2F87866c04-7fb8-4081-8ac1-152af08083db%2Fk7uo9fd_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). Selected values of C(t) are given in the table. (Round your answers to two decimal places.)
2.0 ☐ 2.5 3.0
t (hours)
1.0
1.5
C(t) (g/dL) 0.34
0.25 0.19 0.13 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 and interpret your result.
What are the units?
O O O O
h
dL/g
dL/g
h
h
g/dL
g/dL
g/dL
h
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