Answer:
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