Question

7) The average annual tuition and fees at all 4-year institutions in the US in 2010 was $25,390 and in 2016 is estimated to be $ 32,980. Let y be the average tuition and fees in the year x, where x = 0 represents the year 2010. a) Write a linear equation (point slope form), which would models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x. Plot the graph using a calculator and creating a table by hand if no calculator is used. b) Explain what the slope of this line means in the context of the problem using the calculations and the graph obtained. c) Use this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2026.

Answer 1

7)

a)

(x₁,y₁)=(0,25390),(x₂,y₂)=(6,32980)

point-slope form:

b)

slope of this line means that the average annual tuition and fees at all 4-year institutions in the US is increasing constantly at 1265 dollars per year

c)

in the year 2026, x=2026-2010 =16

=>y-25390=20240

=>y=20240+25390

=>y=45630

average tuition and fees at 4-year institutions in the US in the year 2026 will be 45630 dollars

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