The bar graph shows the average dormitory charges at public and private four-year U.S

Chapter 8, Problem 66

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The bar graph shows the average dormitory charges at public and private four-year U.S. colleges. Use the information displayed by the graph to solve Exercises 6566. $7000 $5000 $6000 $4000 $3000 $2000 Dormitory Charges 4824 5413 5046 5629 5241 5837 Average Dormitory Charges at Four-Year U.S. Colleges Ending Year in the School Year 2010 2011 2012 2013 $1000 Public Institutions 4565 5249 Private Institutions Source: U.S. Department of Education a. Use the numbers shown by the bar graph to find the total dormitory charges at private colleges for a four-year period from the school year ending in 2010 through the school year ending in 2013. b. The model an = 198n + 5037 describes the dormitory charges at private colleges in academic year n, where n = 1 corresponds to the school year ending in 2010, n = 2 to the school year ending in 2011, and so on. Use this model and the formula for Sn to find the total dormitory charges at private colleges for a four-year period from the school year ending in 2010 through the school year ending in 2013. How does this compare with the actual sum you obtained in part (a)?