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If the yearly fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, write the linear equation that models the actual yearly cost of the membership y, in dollars. Variable x should represent the yearly amount of club purchases in dollars.

a) Determine the actual yearly cost of the membership if club purchases for the year are $2,400.

b) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0?

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