305,375 views
17 votes
17 votes
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks he still owed his friend $90. Write and equation for L in terms of T representing the amount Jordan owes his friend after t weeks

User Maxime Franchot
by
2.4k points

2 Answers

17 votes
17 votes

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

User Manuel Spuhler
by
2.7k points
4 votes
4 votes
Jordan. originally borrowed $120 from his friend and after 2 weeks, he still owed his
User Sujoy
by
3.5k points