Question

To save money, you put $200 in your bank account each week. After saving for 44 weeks, you have $1,700 dollars in your account. Which equation models your savings account balance at the end of each week?

Answer 1

After 4 weeks you have put 4 x 200 = 800 into the account, if the balance is 1700 you must have had 1700-800 = 900 in the account as an opening balance. 

Balance on the account = 900 + 200 x 4 = 1700 

For x weeks 

y = 900 + 200 x 

y-900 = 200 x 

subtract 800 each side 
y-900-800 = 200x - 800 
y-1700 = 200(x-4)

Answer 2

Total Amount(x) = Initial Amount + ($200/week)(44 weeks) = $1700

Solve this for Initial Amount:

Initial Amount = 1700 - 200(44)  = 1700 -8800.  That would be a negative result.  Something's wrong here.  Are you sure you've copied the problem down completely and correctly?

$200/week for 44 weeks is $8800, far, far more than $1700.