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;

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