From beginner to expert, IDNLearn.com has answers for everyone. Discover reliable answers to your questions with our extensive database of expert knowledge.
Sagot :
Part A:
We are given the function [tex]\( f(n) = 1200n + 3500 \)[/tex], which represents the number of people in a town who owned a smartphone [tex]\( n \)[/tex] years after 2007.
To find the number of people who owned a smartphone in the year 2010, we need to determine [tex]\( n \)[/tex], the number of years after 2007.
Calculate [tex]\( n \)[/tex]:
[tex]\[ n = 2010 - 2007 = 3 \][/tex]
Substitute [tex]\( n = 3 \)[/tex] into the function [tex]\( f \)[/tex]:
[tex]\[ f(3) = 1200 \times 3 + 3500 \][/tex]
So, the number of people who owned a smartphone in 2010 is:
[tex]\[ \boxed{7100} \][/tex] people
Part B:
We are given the function [tex]\( p(x) \)[/tex], where [tex]\( p(x) \)[/tex] represents the percent of adults in the United States who owned a smartphone [tex]\( x \)[/tex] years after 2011.
The information [tex]\( p(5) = 68 \)[/tex] means that 68% of adults in the United States owned a smartphone [tex]\( x = 5 \)[/tex] years after 2011.
Calculate the year:
[tex]\[ \text{Year} = 2011 + 5 = 2016 \][/tex]
So, in the year [tex]\( \boxed{2016} \)[/tex], [tex]\( \boxed{68}\%\)[/tex] of the adults in the United States owned a smartphone.
We are given the function [tex]\( f(n) = 1200n + 3500 \)[/tex], which represents the number of people in a town who owned a smartphone [tex]\( n \)[/tex] years after 2007.
To find the number of people who owned a smartphone in the year 2010, we need to determine [tex]\( n \)[/tex], the number of years after 2007.
Calculate [tex]\( n \)[/tex]:
[tex]\[ n = 2010 - 2007 = 3 \][/tex]
Substitute [tex]\( n = 3 \)[/tex] into the function [tex]\( f \)[/tex]:
[tex]\[ f(3) = 1200 \times 3 + 3500 \][/tex]
So, the number of people who owned a smartphone in 2010 is:
[tex]\[ \boxed{7100} \][/tex] people
Part B:
We are given the function [tex]\( p(x) \)[/tex], where [tex]\( p(x) \)[/tex] represents the percent of adults in the United States who owned a smartphone [tex]\( x \)[/tex] years after 2011.
The information [tex]\( p(5) = 68 \)[/tex] means that 68% of adults in the United States owned a smartphone [tex]\( x = 5 \)[/tex] years after 2011.
Calculate the year:
[tex]\[ \text{Year} = 2011 + 5 = 2016 \][/tex]
So, in the year [tex]\( \boxed{2016} \)[/tex], [tex]\( \boxed{68}\%\)[/tex] of the adults in the United States owned a smartphone.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.