Question

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.

answers below:
f(x)=6,000x+200

f(z)=6,000x-200

f(z)=200x+6,000

f()=200x-6,000

Answer 1

To model the total amount of money Ray has in his savings account after \( x \) months, we can look at what happens month by month.

- Initially, he deposits $6,000 into the account. This is a constant starting value.
- Every month, he adds $200 to the account. This amount will increase the total based on the number of months, \( x \).

We can represent this situation with the function:

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

In this case:
- \( 6000 \) is the initial amount.
- \( 200x \) accounts for the additional amount he puts in each month.

Now, looking at the provided options, the correct representation of the situation would be:

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

So, the correct answer is:
**f(z) = 200x + 6000**.