Answered

IDNLearn.com: Where your questions are met with thoughtful and precise answers. Get thorough and trustworthy answers to your queries from our extensive network of knowledgeable professionals.

Part A

The function [tex]\( f \)[/tex], where [tex]\( f(n) = 1,200n + 3,500 \)[/tex], represents the number of people in a town who owned a smartphone [tex]\( n \)[/tex] years after 2007.

How many people owned a smartphone in this town in the year 2010?

Enter a number in the box.
[tex]\[ \boxed{} \][/tex] people

Part B

Consider the function [tex]\( p \)[/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.

What does [tex]\( p(5) = 68 \)[/tex] represent?

Select from the drop-down lists to complete the sentence correctly.

In the year [tex]\[ \boxed{} \][/tex]
[tex]\[ \boxed{} \][/tex] of the adults in the United States owned a smartphone.

Sagot :

GinnyAnsweridn
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.
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.