College tuition has risen significantly in the last few decades. From the \(1981-1982\) academic year to the 2011-2012 academic year, total tuition, room, and board paid by full-time undergraduate students went from \(\$ 2,871\) to $\$ 16,789\( at public institutions and from \)\$ 6,330\( to \)\$ 33,716$ at private institutions. This is an average annual tuition increase of \(6.1 \%\) at public institutions and \(5.7 \%\) at private institutions. Over the same time, average personal income after taxes rose from \(\$ 9,785\) to \(\$ 39,409\) per year, which is an average annual rate of growth of personal income of \(4.8 \%\). Have these tuition increases made it more difficult for the average student to afford college tuition?

Short Answer

Expert verified
Answer: Yes, college tuition increases have made it more difficult for the average student to afford college tuition, as the growth rates of tuition fees at both public and private institutions are greater than the growth rate of personal income.

Step by step solution

01

Find the difference in growth rate for tuition fees and personal income at public institutions

First, we need to compute the difference in growth rate between tuition fees and personal income at public institutions. To do that, we just need to subtract the growth rate of personal income from the growth rate of tuition fees: At public institutions: Difference in growth rate = Growth rate of tuition fees at public institutions - Growth rate of personal income Difference in growth rate = \(6.1\% - 4.8\%\) Difference in growth rate = \(1.3\%\)
02

Find the difference in growth rate for tuition fees and personal income at private institutions

Now, let's do the same calculation for private institutions: At private institutions: Difference in growth rate = Growth rate of tuition fees at private institutions - Growth rate of personal income Difference in growth rate = \(5.7\% - 4.8\%\) Difference in growth rate = \(0.9\%\)
03

Analyze the results

Now we have the differences in growth rate for both public and private institutions: - At public institutions: \(1.3\%\) - At private institutions: \(0.9\%\) Since both differences are positive, this means that the growth rates of tuition fees at public and private institutions are greater than the growth rate of personal income. Therefore, we can conclude that college tuition increases have indeed made it more difficult for the average student to afford college tuition.

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