We can take the starting balance of $157 and keep adding $120 to it each week to get:
Week 0 : $157
Week 1 : $277
Week 2 : $397
Week 3 : $517
His balance can be represented by the slope or rate he's getting paid plus his initial balance
Y = 120x + 157
To get the balance after 8 weeks, substitute 8 for x:
Y = 120(8) + 157 = 960 + 157 = $1,117