2. America's dependency on foreign oil has always been a "hot" political topic, with the amount of imported oil fluctuating over the years due to political climate, public awareness, the economy, and other factors. The amount of crude oil imported can be approximated by the function given, where A(t) represents the number of barrels imported in year t (in billions), with 1980 corresponding to year t = 0. 0.047t² – 0.38t + 1.9 0 11 0.133t + 0.685 a) Use A(t) to estimate the number of barrels imported in the years 1983, 1989, 1995, and 2005. b) What was the minimum number of barrels imported between 1980 and 1988?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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2. America's dependency on foreign oil has always been a "hot" political topic, with the amount of imported
oil fluctuating over the years due to political climate, public awareness, the economy, and other factors.
The amount of crude oil imported can be approximated by the function given, where A(t) represents the
number of barrels imported in year t (in billions), with 1980 corresponding to year t = 0.
0.047t² – 0.38t + 1.9 0<t< 8
A(t) = {-0.075t² + 1.495t – 5.265 8<t< 11
t > 11
0.133t + 0.685
a) Use A(t) to estimate the number of barrels imported in the years 1983, 1989, 1995, and 2005.
b) What was the minimum number of barrels imported between 1980 and 1988?
Transcribed Image Text:2. America's dependency on foreign oil has always been a "hot" political topic, with the amount of imported oil fluctuating over the years due to political climate, public awareness, the economy, and other factors. The amount of crude oil imported can be approximated by the function given, where A(t) represents the number of barrels imported in year t (in billions), with 1980 corresponding to year t = 0. 0.047t² – 0.38t + 1.9 0<t< 8 A(t) = {-0.075t² + 1.495t – 5.265 8<t< 11 t > 11 0.133t + 0.685 a) Use A(t) to estimate the number of barrels imported in the years 1983, 1989, 1995, and 2005. b) What was the minimum number of barrels imported between 1980 and 1988?
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