In 2000, 49% of the residents in a large city regularly used news papers for getting news and this has decreased at an average rate of approximately 1.5% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000 .
Answer
The linear function that models the percentage of residents who regularly used the news outlet x years after 2000 is \(\boxed{P(x) = -1.5x + 49}\).
Step 1 ：The problem is asking for a linear function in slope-intercept form. The slope-intercept form of a linear function is \(y = mx + b\), where m is the slope and b is the y-intercept.
Step 2 ：In this case, the slope is the rate of decrease, which is -1.5% per year, and the y-intercept is the initial percentage of residents who used the newspaper, which is 49%.
Step 3 ：Therefore, the function is \(P(x) = -1.5x + 49\).
Step 4 ：The linear function that models the percentage of residents who regularly used the news outlet x years after 2000 is \(\boxed{P(x) = -1.5x + 49}\).
