Membership warehouse clubs offer shoppers low prices, along with rewards of cash
ID: 3185677 • Letter: M
Question
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases· lf the yearly fee for a warehouse club membership is $1 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 $2300 b) What amount of club purchases would reduce the actual yearly cost of the membership to $40? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0? ) The actual yearly cost of the membership if club purchases for the year are $2300 is $ (Simplify your answer. Type an integer or a decimal.) b) The amount of club purchases that reduce the actual yearly cost of the membership to $40 is s (Simplify your answer. Type an integer or a decimal.) e) A member has to spend $in yearly club purchases to reduce the yearly membership cost to so. (Simplify vour answer. Tvpe an inteaer or a decimal.)Explanation / Answer
y = 100 - 0.02x
a) plugging x = 2300
y = 100 - 0.02 (2300)
y = 54
actual yearly cost = $ 54
b) plugging y = 40
40 = 100 - 0.02x
x = 3000
amount of club purchases = $ 3000
c) plugging y = 10
10 = 100 - 0.02 x
x = 4500
member has spend $ 4500 in yearly club purchases