Question 1102030: The average annual tuition and fees at all 4- year institutions in the US in 2002 was $17,708 and in 2011 was $23,114. Let Y be an average tuition and fees in the year x, where x=0 represents the year 2002.
a) write a linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x.
b) uses this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2025
c) explain what the slope of this line means in the context of the problem
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The average annual tuition and fees at all 4- year institutions in the US in 2002 was $17,708 and in 2011 was $23,114. Let Y be an average tuition and fees in the year x, where x=0 represents the year 2002.
a) write a linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x.
You have 2 points:: (0,17,708) and (9,23114)
intercept = t(0) = 17,708
slope = (23114-17708)/(9-0) = 600.67
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Equation: t(x) = 17,708 + 600.67t
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b) use this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2025
t = 23
t(23) = 17,708 + 600.67*23 = $31523.33
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c) explain what the slope of this line means in the context of the problem
The average cost goes up $600.67 per year
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Cheers,
Stan H.
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