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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 $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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.1: Writing Equations In Slope-intercept Form
Problem 24PPS
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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 $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.)
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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