Final answer:
The equation representing the amount Jordan owes after t weeks is L = 120 - 15t. He pays back $15 each week.
Step-by-step explanation:
To find the equation for the amount Jordan owes (L) in terms of the number of weeks (T), we use the information given: Jordan borrowed $120 and after 2 weeks owed $90. This implies that Jordan is paying back a constant amount every week which can be determined by finding the difference between the original amount and the amount owed after 2 weeks. This difference is $120 - $90 = $30, so in two weeks, Jordan has paid back $30. To find the weekly repayment amount, we divide $30 by 2, which gives us $15 per week.
Therefore, the amount Jordan owes after t weeks (L) is the original amount ($120) minus the total amount he has paid back, which is $15 multiplied by the number of weeks passed (t). The equation for L in terms of T is:
L = 120 - 15t