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Warehouse Club Membership Suppose that the annual fee for a warehouse club membership is $50 and that the reward rate on club purchases for the year is 1.6%. Then the actual annual cost of a membership y, in dollars, for an amount of annual club purchases x, in dollars, can be modeled by the following linear equation. y = 50 - 0.016x

(a) Determine the actual annual cost of the membership if club purchases for the year are $1500.

(b) What amount of club purchases would reduce the actual annual cost of the membership to $0?

(c) If club purchases for the year exceed $3125, how is the actual annual membership cost affected?

Respuesta :

abiolataiwo2015

The actual annual cost of the membership if club purchases for the year are $1500 is $26 and the amount of club purchases that would reduce the actual annual cost of the membership to $0 is: $3,125.

Actual annual cost

Given equation:

y = 50 - 0.016x

a. Actual annual cost

y = 50 - 0.016x where x=$1500

Hence,

y = $50 - 0.016 (1500)

y = $50 -24

y= $26

b. Purchase

0 = $50 - 0.016x

x = $50/.016

x = $3,125

c. Assuming  club purchases for the year exceed $3125, how the actual annual membership cost be affected is that the amount exceeded for the  membership will be refunded or treated as cash refund.

Therefore the actual annual cost of the membership if club purchases for the year are $1500 is $26 and the amount of club purchases that would reduce the actual annual cost of the membership to $0 is: $3,125.

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