Final answer:
Jamal's savings each week are represented by the equation Sj = 5w + 18, while Samuel's savings are represented by Ss = 7w + 10, where w is the number of weeks.
Step-by-step explanation:
Jamal and Samuel are saving money for a camping trip with a linear pattern of savings each week. Jamal begins saving with $18 and adds $5 each week. His savings can be represented by the linear equation SJ = 5w + 18, where SJ represents Jamal's savings after w weeks. Samuel starts with $10 and saves $7 each week. His savings can be represented by the linear equation SS = 7w + 10, where SS represents Samuel's savings after w weeks.