To model the total amount in dollars that Ray puts into his savings account after \( x \) months, we can establish a function based on his monthly contributions.
- Ray deposits $6,000 initially.
- Every month, he adds $200.
Thus, after \( x \) months, the total amount deposited into the account can be represented as:
\[ f(x) = 6000 + 200x \]
Here:
- \( f(x) \) is the total amount in dollars after \( x \) months.
- \( 6000 \) is the initial deposit.
- \( 200x \) accounts for the additional $200 deposited every month, multiplied by the number of months \( x \).
So, the function \( f(x) \) models the total amount in the savings account after \( x \) months.