In \( 2000,52 \% \) of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately \( 12 \% \) 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 \( P(x)=\square \) (Use integers or decimals for any numbers in the expression.)

To create a linear function that models the percentage of residents using newspapers, we start with an initial percentage of \( 52\% \) in the year 2000 and a decrease of \( 12\% \) per year. The slope of the function represents the rate of decrease, which will be \( -12 \) (since it's a decrease). The year 2000 is our starting point, which we can denote as \( x = 0 \). Using the slope-intercept form \( P(x) = mx + b \), where: - \( m \) is the slope (which is \( -12 \)), - \( b \) is the initial value (which is \( 52 \)). Thus, the function is: \[ P(x) = -12x + 52 \]