Question: ONLINE HOTEL RESERVATIONS The online lodging industry is expected to grow dramatically. In a study conducted in 1999, analysts projected the U.S. online travel spending for lodging to be approximately
f(t) = 0.157t2 + 1.175t + 2.03 (0 ≤ t ≤ 6)
Billion dollars, where t is measured in years, with t 0 corresponding to 1999 .
a. Show that f is increasing on the interval (0, 6).
b. Show that the graph of f is concave upward on (0, 6).
c. What do your results from parts (a) and (b) tell you about the growth of online travel spending over the years in question?