Average Cost of Tuition and Fees at Private Four-Year U.S. Colleges $33,000 31,701 $31,000 29,056 $29,000 $27,000 26,273 $25,000 23,712 $23,000 21,235 $21,000 19,710 $19,000 17.272 $17,000 15,518 $15,000 2000 2002 2004 2006 2008 2010 2012 2014 End of the School Year Source: The College Board Tuition and Fees
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The bar graph shows the average cost of tuition and fees at private four-year colleges in the United States. The formula, T = 21x2 + 862x + 15.552, models the average cost of tuition and fees, T, at private U.S. colleges for the school year ending x years after 2000.
Solve a. Use the formula to find the average cost of tuition and fees at private U.S. colleges for the school year ending in 2012.
b. By how much does the formula underestimate or overestimate the actual cost shown by the graph for the school year ending in 2012?
And, c. Use the formula to project the average cost of tuition and fees at private U.S. colleges for the school year ending in 2022.
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