Question

He value of China's exports of automobiles and parts (in billions of dollars) is approximately

f
(
x
)
=
1.8208
e
0.3387
x
, where x = 0 corresponds to 1998. In what year did/will the exports reach $9.9 billion?



Give your answer as the year, with at least one decimal place

Answer 1

x = 4.3

Explanation:

7.7 = 1.8208e0.3387x

7.7/1.8208 = e0.3387x

ln(7.7/1.8208) = lne0.3387x

ln(7.7/1.8208) = 0.3387x

x = ln(7.7/1.8208)/0.3387

x = 4.3