In 2000, 54% 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 left parenthesis x right parenthesis comma

P (x), who regularly used the news outlet x years after 2000

Question

Mathematics

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2 February, 06:57

In 2000, 54% 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 left parenthesis x right parenthesis comma

P (x), who regularly used the news outlet x years after 2000

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Answers (1)

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Sydney Yoder · Answer 1

X=number of years after 2000.

y=percentage of residents (still) reads newspapers for information

initial value ( = y-intercept) = percentage in 2000 = 54%

slope = increase each year = - 1.7% (because it is a decrease)

the slope intercept form of the equation is therefore:

y=slope (x) + initial value, or

y=-1.7x+54 (in %)