Question

The average tuition, fees, and room and board rates charged per year for full-time students at a certain college is approximated by the polynomial 6.3x^2 + 37.3x + 2856.7 for the years 1984 to 2006. Use this model to predict what the costs will be for a student at this college in 2016 (x = 32).​

Answer 1

The cost for a student at this college in 2016 (x = 32) is predicted to be $10,493.5.

Step-by-step explanation:

To predict the costs for a student at this college in 2016 (x = 32), we can substitute x = 32 into the polynomial 6.3x^2 + 37.3x + 2856.7:

Cost in 2016 = 6.3(32)^2 + 37.3(32) + 2856.7 = 6.3(1024) + 37.3(32) + 2856.7 = 6451.2 + 1185.6 + 2856.7 = $10493.5.