To find the constant rate of change for the account value over the 3-year period, we can use the formula for the rate of change:
\[ \text{Rate of change} = \frac{\text{Change in value}}{\text{Change in time}} \]
- Change in value: The account value increased from $1000 to $1750. Therefore, the change in value is:
\[ 1750 - 1000 = 750 \]
- Change in time: The time period over which this change occurred is 3 years.
Now, plug these values into the formula:
\[ \text{Rate of change} = \frac{750}{3} = 250 \]
Thus, the constant rate of change per year is $250.