The value of china's exports of automobiles and parts (in billions of dollars) is approximately f ( x ) = 1.8208 e .3387 x , where x = 0 corresponds to 1998. in what year did/will the exports reach $12.3 billion?

So, approximately, China's exports of automobiles and parts reach $12.3 billions in the year 2065.

Step-by-step explanation:

Given:

f(x) =

x = 0 corresponds to 1998

We need to find when it achieve $12.3 billions export.

12.3 billions = 12,300,000,000

Now plug f(x) =  12,300,000,000

12,300,000,000 =  

Dividing both sides by 1.8208, we get

6,755,272,407.7 =

Taking "ln" both sides, we get

ln(6,755,272,407.7) = 0.3387x

22.6335891344 = 0.3387x

Dividing both sides, by 0.3387

x = 66.82

When we round off to the nearest whole number, we get

x = 67 years

So, approximately, China's exports of automobiles and parts reach $12.3 billions in the year 2065 (1998 + 67).

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