The accompanying table gives the number of men 65 years or older in the United States and the percentage of men age 65 or older living below the poverty level. Men 65 years or older, m (millions) Percentage below poverty level, p 8.3 10.3 Year 1970 1980 1985 1990 1997 2000 11.0 12.6 14.0 14.4 20.2 11.1 8.7 7.8 7.0 million men per year million men per year 7.5 (a) Using time as the input, fill in the blanks to complete a linear model for the data set for the number men 65 years or older in the United States. (Let x be the years since 1970. Round all numerical values to three decimal places.) m(x) = million is the number of ---Select--- , where x is ---Select-- Using time as the input, fill in the blanks to complete a quadratic model for the data set for the percentage of men age 65 or older below poverty level. (Let x be the years since 1970. Round all numerical values to three decimal places.) p(x) = % is the percentage of ---Select--- where x is ---Select--- The total number of U.S. men of age 65 and older living below the poverty level is given by the function I(x) = m(x) p(x)/ 100 million men. (b) Using the unrounded decimal places.) 1980 1990 ✓, 0≤x≤ 30. 0 ≤ x ≤ 30. models above, how rapidly was the number of male senior citizens living below the poverty level changing in 1980 and in 1990? (Round your answer to three
The accompanying table gives the number of men 65 years or older in the United States and the percentage of men age 65 or older living below the poverty level. Men 65 years or older, m (millions) Percentage below poverty level, p 8.3 10.3 Year 1970 1980 1985 1990 1997 2000 11.0 12.6 14.0 14.4 20.2 11.1 8.7 7.8 7.0 million men per year million men per year 7.5 (a) Using time as the input, fill in the blanks to complete a linear model for the data set for the number men 65 years or older in the United States. (Let x be the years since 1970. Round all numerical values to three decimal places.) m(x) = million is the number of ---Select--- , where x is ---Select-- Using time as the input, fill in the blanks to complete a quadratic model for the data set for the percentage of men age 65 or older below poverty level. (Let x be the years since 1970. Round all numerical values to three decimal places.) p(x) = % is the percentage of ---Select--- where x is ---Select--- The total number of U.S. men of age 65 and older living below the poverty level is given by the function I(x) = m(x) p(x)/ 100 million men. (b) Using the unrounded decimal places.) 1980 1990 ✓, 0≤x≤ 30. 0 ≤ x ≤ 30. models above, how rapidly was the number of male senior citizens living below the poverty level changing in 1980 and in 1990? (Round your answer to three
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 16E
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Transcribed Image Text:The accompanying table gives the number of men 65 years or older in the United States and the percentage of men age 65 or older living below the poverty level.
Men 65 years or older, m
Percentage below
poverty level, p
(millions)
8.3
Year
m(x)
1970
1980
1985
1990
1997
2000
10.3
=
11.0
12.6
14.0
14.4
million is the number of ---Select---
20.2
11.1
(a) Using time as the input, fill in the blanks to complete a linear model for the data set for the number men 65 years or older in the United States. (Let x be the years since 1970. Round all
numerical values to three decimal places.)
1(x) = m(x) • p(x)/ 100 million men.
8.7
7.8
million men per year
million men per year
7.0
7.5
Using time as the input, fill in the blanks to complete a quadratic model for the data set for the percentage of men age 65 or older below poverty level. (Let x be the years since 1970. Round
all numerical values to three decimal places.)
p(x)
% is the percentage of ---Select---
where x is ---Select---
I
The total number of U.S. men of age 65 and older living below the poverty level is given by the function
where x is ---Select---
0 ≤ x ≤ 30.
I
0 ≤ x ≤ 30.
(b) Using the unrounded models above, how rapidly was the number of male senior citizens living below the poverty level changing in 1980 and in 1990? (Round your answer to three
decimal places.)
1980
1990
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