Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

Let m be the number of months. The community center costs 60m dollars, while the center near work costs 100 + 40m dollars, including its registration fee. Set the costs equal: 60m = 100 + 40m, so 20m = 100 and m = 5. The costs are the same after 5 months, choice A.

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