1. Data from the American College Board show that in 2013, the average cost of tuition at private four- years colleges was $31,000. Since 2013, this number increased on average by about 3.7% each year.1) Let C denote the average cost of tuition at private four-year colleges, in dollars, and let t denotethe time in years since 2013. Write an exponential model that represents the average cost oftuition since the year 2013.