Eliza started her savings account with $100. each month she deposits $25 into her account. determine the average rate of change in eliza's account from the 2nd month to the 10th month. show all work for full credit.

First, lets create a equation for our situation. Let  be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:


We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: . So lets replace the values in our formula to find the average of our function:





We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.