Create a linear function that models the following real-world financial problem: Ray puts $6,000 into a savings account. Every month, he adds $200 to the account. Write a function f(x) that models the total amount in dollars he puts into the savings account after x months. (1 point) Responses f(x)=6,000x+200 f x = 6 , 000 x + 200 f(x)=6,000x−200 f x = 6 , 000 x - 200 f(x)=200x+6,000 f x = 200 x + 6 , 000 f(x)=200x−6,000

Answer 1

To model Ray's savings account, we need to consider both the initial amount he has deposited and the monthly contributions.

1. Ray starts with an initial amount of $6,000.
2. Every month, he adds $200.

We can represent the total amount in the savings account after \( x \) months with the following linear function:

\[ f(x) = 200x + 6000 \]

This function indicates that for each month \( x \), he adds $200 (the monthly contribution) to the initial amount of $6,000.

So the correct answer is:

f(x) = 200x + 6,000