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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 $1500. b) What amount of club purchases would reduce the actual yearly cost of the membership to $43? 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 $1500 is $ (Simplify your answer. Type an integer or a decimal.)

          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 $1500.
b) What amount of club purchases would reduce the actual yearly cost of the membership
to $43?
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 $1500 is $
(Simplify your answer. Type an integer or a decimal.)
        
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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 equationy = 100 - 0.04xmodels 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
are1500.
b) What amount of club purchases would reduce the actual yearly cost of the membership
to 43?
c) How much would a member have to spend in yearly club purchases to reduce the
yearly membership cost to0?
a) The actual yearly cost of the membership if club purchases for the year are 1500 is
(Simplify your answer. Type an integer or a decimal.)

Added by Susana F.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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a) The actual yearly cost of the membership if club purchases for the year are $1500 is $40. b) What amount of club purchases would reduce the actual yearly cost of the membership to $43? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $0?
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Warehouse Club Membership 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 $2 \%$ on club purchases for the year, then the linear equation $$ y=100-0.02 x $$ 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 $\$ 50 ?$ (c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to $\$ 0 ?$

Precalculus Student Solutions Manual 5th

Equations and Inequalities

Applications and Modeling with Linear Equations

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Solve each problem Warehouse Club Membership If the annual fee for a warehouse club membership is $\$ 100$ and the reward rate is $2 \%$ on club purchases for the year, then the linear equation $$ y=100-0.02 x $$ models the actual annual cost of the membership $y,$ in dollars. Here $x$ represents the annual amount of club purchases, also in dollars. (a) Determine the actual annual cost of the membership if club purchases for the year are $\$ 2400$ (b) What amount of club purchases would reduce the actual annual cost of the membership to $\$ 50 ?$ (c) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $\$ 0 ?$

Precalculus

Equations and Inequalities

Applications and Modeling with Linear Equations

solve-each-problem-warehouse-club-membership-if-the-annual-fee-for-a-warehouse-club-membership-is-10

Solve each problem Warehouse Club Membership If the annual fee for a warehouse club membership is $\$ 100$ and the reward rate is $2 \%$ on club purchases for the year, then the linear equation $$ y=100-0.02 x $$ models the actual annual cost of the membership $y,$ in dollars. Here $x$ represents the annual amount of club purchases, also in dollars. (a) Determine the actual annual cost of the membership if club purchases for the year are $\$ 2400$ (b) What amount of club purchases would reduce the actual annual cost of the membership to $\$ 50 ?$ (c) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $\$ 0 ?$

Precalculus

Equations and Inequalities

Applications and Modeling with Linear Equations


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Transcript

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00:03 So this equation, y equals 100 minus 0 .02x tells you how much you would have to pay with a club membership.
00:11 So the membership has $100 membership fee, but they also give you a 2 % return on any of your purchases, which is represented by the 0 .02x.
00:22 So let's say that you purchase $2 ,400 worth of stuff.
00:27 How much would you have to pay for this club? so we have y equals 100 minus 0 .02 times 2 ,400.
00:40 And we get $52.
00:45 Now what if you want the total club membership or the total club fees to only be $50? in other words, we want y to be $50.
00:55 So in this case, we would set 50 equal to 100 minus 0 .02x.
01:03 So we subtract 100 from both sides.
01:07 So we get negative 50 equals negative 0 .02x.
01:14 And then we divide by 0 .02...
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