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Math·Advanced Math·Nonlinear functions

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Time (years)	Total amount (dollars)
0	864.00
1	869.18
2	874.40

Sam opened a savings account at a bank. The table shows the exponential relationship between the time $t$, in years, since Sam opened the account and the total amount $a$, in dollars, in the account. If Sam made no additional deposits or withdrawals, which of the following equations best represents the relationship between $t$ and $a$?

A

$a=0.006(1+864{)}^t$

B

$a=864(1+0.006{)}^t$

C

$a=(1+0.006{)}^t$

D

$a=(1+864{)}^t$