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 yearare ​$1500.​b) What amount of club purchases would reduce the actual yearly cost of the membershipto ​$47​?​c) How much would a member have to spend in yearly club purchases to reduce theyearly 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.)