The U.S. Energy Information Administration projected that imports of petroleum products in 2005 would be 4.81 quadrillion Btu and would increase by 5.47% each year through 2020.T (a) Find the function of the model that gives projected petroleum imports in quadrillion Btu, where t is the number of years since 2005, with data from 0 sts 15 P(t) = quadrillion Btu (b) According to the model, when will imports exceed 7 quadrillion Btu? (Round your answer for t to two decimal places.) Imports will exceed 7 quadrillion Btu in t= years which will occur in the year (c) Describe the end behavior of the model as time increases. P(t) increases without bound as t increases. O P(t) approaches a limiting value of 33.67 as t increases. OP(t) decreases without bound as t increases P(t) remains constant as t increases. OP(t) decreases toward 0 as t increases

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
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The U.S. Energy Information Administration projected that imports of petroleum products in 2005 would be 4.81 quadrillion Btu and would increase by 5.47% each year through 2020.T
(a) Find the function of the model that gives projected petroleum imports in quadrillion Btu, where t is the number of years since 2005, with data from 0 sts 15
P(t) =
quadrillion Btu
(b) According to the model, when will imports exceed 7 quadrillion Btu? (Round your answer for t to two decimal places.)
Imports will exceed 7 quadrillion Btu in t=
years which will occur in the year
(c) Describe the end behavior of the model as time increases.
P(t) increases without bound as t increases.
O P(t) approaches a limiting value of 33.67 as t increases.
OP(t) decreases without bound as t increases
P(t) remains constant as t increases.
OP(t) decreases toward 0 as t increases
Transcribed Image Text:The U.S. Energy Information Administration projected that imports of petroleum products in 2005 would be 4.81 quadrillion Btu and would increase by 5.47% each year through 2020.T (a) Find the function of the model that gives projected petroleum imports in quadrillion Btu, where t is the number of years since 2005, with data from 0 sts 15 P(t) = quadrillion Btu (b) According to the model, when will imports exceed 7 quadrillion Btu? (Round your answer for t to two decimal places.) Imports will exceed 7 quadrillion Btu in t= years which will occur in the year (c) Describe the end behavior of the model as time increases. P(t) increases without bound as t increases. O P(t) approaches a limiting value of 33.67 as t increases. OP(t) decreases without bound as t increases P(t) remains constant as t increases. OP(t) decreases toward 0 as t increases
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