The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete parts (a) through (c) below.

Year	2000	2005	2007	2009	2011	2013	2015
Assets	16	43	53	78	118	151	198

(a) Find an exponential model of the form

f(t)=y0bt for these data, where t=0 corresponds to the year 2000. If you do not have suitable technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.

The exponential model for the data is

f(t)=t.

(Round to three decimal places as needed.)

(b) Assume the model remains accurate and predict the total assets in 2018 and 2021.

(c) Use a graphing calculator (or trial and error) to determine the first full year in which the total assets exceed 450 trillion.