In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.9% 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 xyears after 2000. P(x)=−1.9x+51

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In 2000, 51% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.9% 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 xyears after 2000.  P(x)=−1.9x+51

lamanocornudaW · Accepted Answer

Step 1  It is given that the percentage of Residents who get news by reading newspaper is 51%.  It is also given that this percentage started to decrease by an annual rate of 1.9% per year since the year 2000.  Step 2  Write the linear function in the slope intercept form that models the percentage of the Residents as follows.  Let P(x) represent the percentage of Residents who regularly using newspaper after the x years from 2000.  It can also be written as follows,  y=P(x)  =mx+C  Given initially 51% of the residents use newspaper in the year 2000.  Set x=0 for P(x).  y=P(0)  51=m(0)+C  C=51  Step 3  The percentage of residents is decreasing at a rate of 1.9% per year,  That is,  △y△x=−1.9  m=−1.9  So, the linear function P(x) for the percentage of Residents using the newspaper outlet slope intercept form P(x)=mx+C can be written as follows.  P(x)=−1.9x+51, where x denotes the numbers of the years after the year 2000.  Step 4  Answer:  The linear function that represents the percentage of Residents using the newspaper in slope intercept form is P(x)=−1.9x+51.

In 2000, 51\% of the residents in a large city regularly used newspapers f

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