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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.)
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 $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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