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Math·Advanced Math·Nonlinear functions

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$$f(x)=6,000(1.003{)}^{2x}$$

The given function $f$ models the balance of a bank account, in dollars, $x$ years after it is opened. Which statement is the best interpretation of $(1.003{)}^{2x}$?

A

Every 6 months, the balance increases by about $3.

B

Every 2 years, the balance increases by about $3.

C

At the end of every 6-month interval, the balance increases by about 0.3% of the balance at the beginning of the 6-month interval.

D

At the end of every 2-year interval, the balance increases by about 0.3% of the balance at the beginning of the 2-year interval.