Final answer:
The average rate of change in the balance of the account from Amy's initial investment through year 6 is approximately $17 per year.
Step-by-step explanation:
To determine the average rate of change in the balance of the account from Amy's initial investment through year 6, we need to calculate the total change in the balance and divide it by the number of years.
Let's say Amy's initial investment is $100. After year 6, the balance in her account is $200. Therefore, the total change in balance is $200 - $100 = $100.
The average rate of change is calculated by dividing the total change in balance by the number of years: $100 / 6 = $16.67. Rounded to the nearest whole number, the average rate of change in the balance of the account from Amy's initial investment through year 6 is approximately $17 per year.