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21 July, 05:00

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.

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  1. 21 July, 05:06
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    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
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