Question

Paige borrows $700 from her parents for a new computer. She repays $100 the first month, then begins to repay her parents $75 per month. What recursive formula models the total amount of money still owed, an?

Answer 1

Well since she borrowed $700, then payed back $100 the first month right?
Ok so now she only has $600 to pay back after then. Now she is paying $75 per month. SO the formula would look something like this.

100 + 75x = 700

x would represent how many months it would take to pay the rest of the money after the 100.

To solve for x just divide 600 by 75. Which is 8. So it would take 8 months to pay back the 600 that she owes.

Answer 2

The recursive formula that models the total amount owed is $700 = $100 + $75m .

What is a recursive formula?

A recursive formula is a model that is made up of two parts: an initial part and a sequence. In this question, the initial part is $100 and the sequence is $75.

What is the recursive formula model?

Total amount borrowed = amount paid in the first month + (amount to be repaid per month x number of months)

$700 = $100 + $75m

Where: m = number of months.