Question

You love shopping and are debating joining your favorite store's membership reward program.

Membership Program:
A $4.95 membership fee for one year membership
A 1% discount on all purchases

No membership program:
You pay for all purchases .

Answer 1

This is systems of equations. I feel that there is not enough information, however that is all that I am given. I am supposed to make a presentation solving it with graphing, elimination, and substitution. Please help me!

Answer 2

@Nnesha

Answer 3

@ganeshie8 @Hero @ParthKohli @pooja195 @dan815 @AlexandervonHumboldt2 @triciaal
@nincompoop @jigglypuff314 @Mehek14

Answer 4

What do you think the answer is?

Answer 5

No clue lol

Answer 6

So to get the membership you par $4.95 fee for one year and in return you get 1% off your purchases.

Answer 7

@sleepyjess

Answer 8

I think what they are trying to ask is how much should be spent so that the membership is worth it.

Answer 9

So you are basically paying 99% of 4.95 for membership and 100% of 4.95 for non membership?

Answer 10

So you need to spend X amount for the membership to be worth it. So we basically need to cover that $4.95 cost.

Answer 11

So in $100 with 1% you get a $1 discount. So you need to spend at least $500 so that the membership is covered.

Answer 12

So x=500 in this case. I am pretty sure thats the answer your teacher wants.

Answer 13

okay

Answer 14

And is there a way for me to do this algebraically to show my work?

Answer 15

Step by Step

(X)0.99+4.95
Swap with 100 (100)0.99+4.95= 104.95 so you still lose money
Now we know its $1 per a 100 so we swap with 500 this time
(500)0.99+4.95= 499.95.
Therefore x=500.

Answer 16

Do you understand now?

Answer 17

Yeah

Answer 18

but is there a non guess-and-check way i could approach this?

Answer 19

There is, but its alot more confusing. This makes things fast and easy.

Answer 20

And it was not a random guess it was more of a calculated guess.

Answer 21

It is supposed to be a system of equations, so somehow I should be able to get 2 equations out of it

Answer 22

Can you help me find the other?

Answer 23

I am not sure what equation to give you.

Answer 24

The only way i could create another equation could be if there was a discounted 2yr membership.