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.)
