In 2000. 54% 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 x years after 2000. P(x)=____________ (Use integers or decimals for any numbers in the expression.)

Question

In 2000. 54% 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 x years after 2000.  P(x)=____________  (Use integers or decimals for any numbers in the expression.)

Isma Jimenez · Accepted Answer

Step 1  Given,  The percentage of residents who get news by reading newspapers is 54%.  Average rate =1.9% per year  Step 2  Let year 2000 as starting year, so x=0 and percentage of residents =54.  Therefore, the coordinate of years and percentage of residents as (0, 54).  The rate is decreasing by 1.9%.  So, the slope will be -1.9  Step 3  Formula used:y−y1=m(x−x1)  Step 4  On putting the all values in the above formula, it gives  y−54=−1.9(x−0)  y−54=−1.9x  y=−1.9x+54  Step 5  Answer: The function model the percentage of residents P(x) is equal to  P(x)=−1.9x+54

In 2000. 54\% of the residents in a large city regularly used newspapers f

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