What is the constant rate of change with an account value of $1000 and after 3 years the account value is $1750

Rate of change per year

1 answer

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:

\[ \text{Rate of change} = \frac{\text{Change in value}}{\text{Change in time}} \]

  1. Change in value: The account value increased from $1000 to $1750. Therefore, the change in value is:

\[ 1750 - 1000 = 750 \]

  1. 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.