Cathy wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another

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Cathy wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. a. In how many months will both gym memberships cost the same? What will that cost be?

Set up cost equations where m is the number of months enrolled:

1. C(m) = 35m + 150
2. C(m) = 60m

Set them equal to each other:
35m + 150 = 60m

Pasting the equation above into our search engine, we get m = 6.