Average annual tuition and fees for in-state students at public four-year colleg

Question

Average annual tuition and fees for in-state students at public four-year colleges are shown in the table for selected years and graphed as ordered pairs of points in the figure, where x = 0 represents 2009, x = 1 represents 2010, and so on, and y represents the cost in dollars. This graph of ordered pairs of data is called a scatter diagram. Find an equation that models the data using the data points (1, 6695) and (3, 7703). Use the equation from part (a) to predict the cost of tuition and fees at public four-year colleges in 2015.

Explanation / Answer

(A)

when i put these data in graph sheet or in excel then i got a trendline y=441.2x + 6312

data points (1,6695) and (3,7703)

y-y1 =m(x-x1)

here m= (y2 -y1)/(x2 -x1)

y-6695 = (7703-6695)/(3-1)(x-1)

y=504x+6491   

(B) In 2015 the value of x is 6

y=504*6+6491= $9515

year cost in dollars 0 6312 1 6695 2 7136 3 7703 4 8070

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