Create a linear function that models the following real-world financial problem:

Question

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 the total amount of money Ray has in his savings account after \( x \) months, we need to consider the initial amount he deposits and the amount he adds each month.

1. Ray starts with \( 6,000 \) dollars.
2. He adds \( 200 \) dollars every month.

The total amount \( f(x) \) in the account after \( x \) months can be expressed with the following linear function:

\[ f(x) = 200x + 6,000 \]

So, the correct response from the options provided is:

f(x) = 200x + 6,000