Question

In​ 2000, 46 %46% 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 %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, Upper P (x )comma(x), who regularly use the news outlet x years after 2000.

Answer 1

Answer:

$P(x) = 46 - 1.9*x$

Step-by-step explanation:

To model a linear function in​ slope-intercept form one should determine three main parts of the function P(x): variable, constant and slope.

In this situation, the variable "x" is easily identifiable as the number of years passed after 2000, since the goal of this function is to model yearly decrease.

The constant (C) is the percentage of the population who regularly used newspapers in the year 200, which is stated to be 46%.

The slope(m) should be the rate by which the initial population changes each year, which is -1.9%.

Writting the general formula and substituting the terms defined above yields:

$P(x) = C - m*x\\P(x) = 46 - 1.9*x$