For many years, college cost (including tuition, fees, room, and board) increases have been higher than the inflation rate, averaging 5% to 8% per year. According to the College Board’s Trends in College Pricing, the average total costs in 2015 dollars were $19,548 for students attending in-state 4-year public colleges and universities and $43,921 for students at 4-year private colleges and universities. Assume an additional $4000 per year for textbooks, supplies, transportation, and other expenses. Using a 7% per year inflation rate,

(a) How much can a sophomore high-school student expect to spend on in-state tuition, fees, room, and board for the freshman year (3 years from now) at a 4-year public university,

(b) What is the estimated total cost for the second year at the university, if textbooks, supplies, etc. also increase at 7% per year?