Answer
a) $G=145.8 e^{0.051 t}$
b) The GDP increases by $5.23% $ each year
c) $G=145.8(1.0523)^t$
d) See the graph
Work Step by Step
(a) The GDP of Chile can be expressed as the exponential function.
$$G=145.8 e^{0.051 t}$$
(b) Note that $e^{0.051(1)}=1.0523$, from this we see that the GDP increases by $5.23 \%$ each year.
(c) Using the result from c, we have $$G=145.8(1.0523)^t$$
d) There is no difference between the graph of the function from part a and part c since the functions are identical.
