A thorough explanation and step by step process would help me greatly. I do not know how to solve this problem.
Club A charges a $200 initial fee, plus $15 a month. Club B charges a $100 initial fee, plus $20 a month. The costs of belonging to the clubs can be compared using the following equations:
Club A: C = 200 + 15m
Club B: C = 100 + 20m
a) Find the point of intersection of the two lines.
b) After how many months are the costs the same?
Any help is appreciated. Thanks.