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 2% on club purchases for the year, then the linear equation y=100−0.02x 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 $1500. b) what amount of club purchases would reduce the actual yearly cost of the membership to $47? 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 $1500 is $ (simplify your answer. type an integer or a decimal.)