Question

Ray putsc$6,000 into a savings Account every month, he adds $200. to his account. Write a function f(×) that models the total amount in dollars he puts into the savings account after (×) months

Answer 1

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.

1. Ray deposits $6,000 initially.
2. 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.