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 $2400 b) What amount of club purchases would reduce the actual yearly cost of the membership to $217 c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.1: Lines And Linear Functions
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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 $2400.
b) What amount of club purchases would reduce the actual yearly cost of the membership
to $21?
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 $2400 is $
(Simplify your answer. Type an integer or a decimal.)
View an example Get more help.
Osearch
9
COCCE
Clear all
Check answer
3:24 PM
12/2/2022
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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 $2400. b) What amount of club purchases would reduce the actual yearly cost of the membership to $21? 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 $2400 is $ (Simplify your answer. Type an integer or a decimal.) View an example Get more help. Osearch 9 COCCE Clear all Check answer 3:24 PM 12/2/2022 ☐
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