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 $1600. b) What amount of club purchases would reduce the actual yearly cost of the membership to $23? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0?
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 $1600. b) What amount of club purchases would reduce the actual yearly cost of the membership to $23? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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Transcribed Image Text: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 $1600.
b) What amount of club purchases would reduce the actual yearly cost of the membership
to $23?
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 $1600 is
$.
(Simplify your answer. Type an integer or a decimal.)
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