To determine the rate of change in terms of balance (in dollars) with respect to the number of weeks, we need to find the slope of the linear relationship between the two variables.
The slope can be calculated using the formula:
slope = (change in y)/(change in x)
In this case, the change in y represents the change in balance (in dollars) and the change in x represents the change in the number of weeks.
Since all we have is a statement that "the table shows the linear relationship between the balance saved each week," without the specific values of the table, it is not possible to determine the rate of change in terms of balance with respect to the number of weeks.