You are choosing between two health clubs. Club A offers membership fee of $16 plus a monthly fee of $23. Club B offers membership for a fee

Question

You are choosing between two health clubs. Club A offers membership fee of $16 plus a monthly fee of $23. Club B offers membership for a fee of $20 plus a monthly fee of $21. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

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Trung Dũng 4 years 2021-09-03T08:26:06+00:00 1 Answers 8 views 0

Answers ( )

  1. yenoanh
    0
    2021-09-03T08:27:10+00:00
    Reply

    Answer:

    After five months, the total cost would be the same.

    Step-by-step explanation:

    You’d have to write equations for the price per month for each club.

    Let  

    x

    equal the number of months of membership, and  

    y

    equal the total cost.

    Club A’s is  

    y

    =

    25

    x

    +

    40

    and Club B’s is  

    y

    =

    30

    x

    +

    15

    .

    Because we know that the prices,  

    y

    , would be equal, we can set the two equations equal to each other.

    25

    x

    +

    40

    =

    30

    x

    +

    15

    . We can now solve for  

    x

    by isolating the variable.

    25

    x

    +

    25

    =

    30

    x

    .

    25

    =

    5

    x

    .

    5

    =

    x

    After five months, the total cost would be the same.

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