Answer:
The required function is P(x)=-1.3x+49.
Step-by-step explanation:
Let P(x) be the percentage of residents who regularly used the news outlet x years after 2000.
It is given that in 2000, 49 % of the residents in a large city regularly used newspapers for getting news.
Initial percentage of residents who regularly used the news = 49
It has decreased at an average rate of approximately 1.3 % per year since 2000.
It is decreasing by 1.3% so,
[tex]Slope=-1.3[/tex]
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept or initial value.
Substitute y=P(x), m=-1.3 and b=49% in equation (1).
[tex]P(x)=-1.3x+49[/tex]
Therefore, the required function is P(x)=-1.3x+49.
