The recursive function is A(t) = A(t + 1) - 75
The amount Rebecca buys the new couch = $1,200
The amount she plans to make as monthly payment = $75
The time she plans to start paying = The month after she buys the couch
A recursive function is one which has its own process as an input in the process of its implementation
A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;
The amount left for her to pay in the present month = The amount left to pay in the previous month - $75
Let A(t) represent the amount left for her to pay in the present month and let A(t + 1) represent the amount left to pay in the previous month, we get;
The recursive function is A(t) = A(t + 1) - 75
The function, <em>A</em>, is called in as (A(t + 1)) an input to the execution of the function
Learn more about recursive functions here;
brainly.com/question/13657607