The table gives the total emissions of lead into the atmosphere for selected years. Total Lead Emissions into the Atmosphere Lead, f (million tons) Year 1970 220.9 1975 159.7 1980 74.2 1985 22.9 1990 5.0 1995 3.9 (a) Find a logistic function that models the data. (Align the input data so that t 0 in 1970. Round all numerical values to three decimal places.) f(t) X (b) Estimate the location of the inflection point. (Round your answer to the nearest integer.) t =1978 X (c) Indicate where the curve is concave up and where it is concave down O The curve is concave down when t is less than the inflection point and is concave up when t is greater than the inflection point. The curve is concave up when t is less than the inflection point and is concave down when t is greater than the inflection point

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The table gives the total emissions of lead into the atmosphere for selected years.
Total Lead Emissions into the Atmosphere
Lead, f
(million tons)
Year
1970
220.9
1975
159.7
1980
74.2
1985
22.9
1990
5.0
1995
3.9
(a) Find a logistic function that models the data. (Align the input data so that t
0 in 1970. Round all numerical values to three decimal places.)
f(t)
X
(b) Estimate the location of the inflection point. (Round your answer to the nearest integer.)
t =1978
X
(c) Indicate where the curve is concave up and where it is concave down
O The curve is concave down when t is less than the inflection point and is concave up when t is greater than the inflection point.
The curve is concave up when t is less than the inflection point and is concave down when t is greater than the inflection point
Transcribed Image Text:The table gives the total emissions of lead into the atmosphere for selected years. Total Lead Emissions into the Atmosphere Lead, f (million tons) Year 1970 220.9 1975 159.7 1980 74.2 1985 22.9 1990 5.0 1995 3.9 (a) Find a logistic function that models the data. (Align the input data so that t 0 in 1970. Round all numerical values to three decimal places.) f(t) X (b) Estimate the location of the inflection point. (Round your answer to the nearest integer.) t =1978 X (c) Indicate where the curve is concave up and where it is concave down O The curve is concave down when t is less than the inflection point and is concave up when t is greater than the inflection point. The curve is concave up when t is less than the inflection point and is concave down when t is greater than the inflection point
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