In 2000, 55 % of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.7 % per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, Upper P (x) comma who regularly used the news outlet x years after 2000.

P (x) = - 1.7x + 55

Step-by-step explanation:

x denotes the years that have passed since 2000. So for year 2000, x = 0

Therefore we have that when x₁ = 0, y₁ = 55. From the information given by the problem we know that the slope m is - 1.7.

So by substituting these values in the formula y-y₁ = m (x - x₁) we get:

y - 55 = - 1.7 (x - 0)

y - 55 = - 1.7x

y = - 1.7x + 55

Thus our function P (x) that models the percentage of residents who regularly used the news outlet x years after 2000 is

P (x) = - 1.7x + 55