A government considers a single person as living in poverty if his or her income falls below the official poverty level, which is adjusted every year for inflation. The function that models the poverty threshold for the years 1987-2008 is f(x) = - 3107.4 + 4053.9 In x dollars, where x is the number of years after 1980. a. What does this model give as the poverty threshold in 2014? In 2020? b. Is this function increasing or decreasing? c. Graph the function -3107.4 + 4053.9 In x for x = 5 to x = 40. a. The threshold will be about $ in 2014. (Round to the nearest dollar as needed.)

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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A government considers a single person as living in poverty if his or her income falls below the official poverty level, which is adjusted every year for inflation. The
function that models the poverty threshold for the years 1987-2008 is f(x) = -3107.4 + 4053.9 In x dollars, where x is the number of years after 1980.
%3D
a. What does this model give as the poverty threshold in 2014? In 2020?
b. Is this function increasing or decreasing?
c. Graph the function -3107.4 +4053.9 In x for x = 5 to x = 40.
a. The threshold will be about $ in 2014.
(Round to the nearest dollar as needed.)
Transcribed Image Text:A government considers a single person as living in poverty if his or her income falls below the official poverty level, which is adjusted every year for inflation. The function that models the poverty threshold for the years 1987-2008 is f(x) = -3107.4 + 4053.9 In x dollars, where x is the number of years after 1980. %3D a. What does this model give as the poverty threshold in 2014? In 2020? b. Is this function increasing or decreasing? c. Graph the function -3107.4 +4053.9 In x for x = 5 to x = 40. a. The threshold will be about $ in 2014. (Round to the nearest dollar as needed.)
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