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Show all work as you solve the linear modeling problem below. 9) The Environmental Protection Agency lists among its Climate Change Indicators the increase in severity of wildfires in the U.S. over time. In 1997, the total area burned by wildfires was 2.9 million acres. In 2012, the total area burned by wildfires was 8.9 million acres. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 1997 and let y stand for the total area burned by wildfires in millions of acres.

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Answer #1

It is given in the problem that in 1997, the total area burned in in wild fire is 2.9 million acres. If r stands for the number of years after 1997 and y stands for the total area bed by wild fire in millions of acres. Then at 1997: 2.1 = 0 y1 = 2.9 at 2012: T215 Y2 = 8.9 slope of a line is given as: since, the counting has started from 1997. since, 2012 is 15 years from 1997 y2-y18.9 - 2.9 6 2 15-015 5 slope of a line in slope-intercept form is given as

in 1997, r-0 and y-2.9 . Substituting, these values in (1) yields 2.9-F(0)b b = 2.9 y-x+ 2.9 is the equation in the slope-intercept form.

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