Question

Logan 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. Logan originally borrowed $40 from his friend and after 7 weeks, he still owed his friend $26. Write an equation for the function L(t),L(t),representing the amount Logan owes his friend after tt weeks.

Answer 1

Answer:L(t) = 40 - 2t

Explanation:

Total amount of money that Logan borrowed from his friend to buy the video game system is $40

Let x represent the constant amount that he agreed to pay the friend back each week.

After 7 weeks, he still owed his friend $26. This means that the amount that he paid in 7 weeks is 7×x = $7x

He still owed his friend $26.

This means that amount paid in 7 weeks would be 40 - 26 = $14

Therefore

7x = 14

x = 14/7 = 2

He pays $2 each week.

Let t represent the number of weeks, the equation for the function L(t),representing the amount Logan owes his friend after t weeks would be

L(t) = 40 - 2t