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Moderate

Rising Stock Values

SATMAT-FNSFEY

The value of a stock purchase was ${\$1,200}$ in $2003$. By $2009$, the value had increased to ${\$9,300}$, and by $2013$, the value had increased to ${\$32,100}$.

Which of the following functions, where $ x $represents the number of years after $2003$, and $ y $ represents the value of the stock, best models this data?

A

$ y=240.5x^{ 2 }+13.5x+550 $

B

$ y=37.5{ x }^{ 3 }+1,205 $

C

$ y=1,200{ (1.39) }^{ x } $

D

$ y=1,200{ (1.42) }^{ x } $