Question

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.

Answer 1

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