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To find the value of k for the cheaper membership, we need to compare the cost of both Gyms for a year.
The cost of a membership at Gym A for a year can be calculated as follows:
12 months / 5 months = 2.4 (the number of times the membership is repeated in a year)
y1 = 50 * 2.4
The cost of a membership at Gym B for a year can be calculated as follows:
12 months / 3 months = 4 (the number of times the membership is repeated in a year)
y2 = 40 * 4
To find the cheaper membership, we need to compare y1 and y2.
If y1 < y2, then Gym A is cheaper.
If y1 > y2, then Gym B is cheaper.
So, in this case, the value of k for the cheaper membership is not needed to determine which membership is cheaper. We need to calculate y1 and y2 to make the comparison.