Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is $100 and the reward rate is 4% on club purchases for the year, then the linear equation y = 100 -0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the yearly amount of club purchases, also in dollars. a) Determine the actual yearly cost of the membership if club purchases for the year are $1900. b) What amount of club purchases would reduce the actual yearly cost of the membership to $24? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0? a) The actual yearly cost of the membership if club purchases for the year are $1900 is $ (Simplify your answer. Type an integer or a decimal.)

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