Final answer:
The correct table that models the growth of the account balance is the third one: x 0 1 2 3 4 y 2,000 2,142.45 2,295.05 2,458.51 2,633.62. This table represents the balance of the savings account with a principal amount of 2,000, a 7% annual interest rate, and compounding semi-annually.
Step-by-step explanation:
The correct table that models the growth of the account balance is:
x 0 1 2 3 4
y 2,000 2,145.02 2,300.55 2,467.36 2,646.26
This table represents the balance of the savings account with a principal amount of 2,000, a 7% annual interest rate, and compounding semi-annually. The balance increases as time goes on, and the growth is calculated using compound interest.