The transaction volume V​ (in billions of​ dollars) of purchases made on debit cards in the United States can be approximated by the equatio

Question

The transaction volume V​ (in billions of​ dollars) of purchases made on debit cards in the United States can be approximated by the equation V​ = 133.4 x ​+316 ​, where x is the number of years since 2000. Approximately how much was the transaction volume in the year​ 2000?

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Alexandra 7 months 2021-10-07T09:38:50+00:00 1 Answer 0 views 0

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    2021-10-07T09:39:55+00:00

    Answer:

    $316 billions was the transaction volume in the year 2000.

    Step-by-step explanation:

    Given:

    The transaction volume V​ (in billions of​ dollars) of purchases made on debit cards in the United States can be approximated by the equation V​ = 133.4 x ​+316 ​, where x is the number of years since 2000.

    Now, to find the transaction volume in the year​ 2000.

    The number of years since 2000 = [tex]x.[/tex]

    And the transaction volume [tex]V[/tex]​ (in billions of​ dollars) of purchases made on debit cards in the United States can be approximated by the equation:

    [tex]V=133.4x+316[/tex]

    As, [tex]x[/tex] is the number of years since 2000.

    Thus, the value of [tex]x=0.[/tex]

    Now, solving the equation by putting the value of [tex]x[/tex]:

    [tex]V=133.4\times x+316\\\\V=133.4\times 0+316\\\\V=0+316\\\\V=316.[/tex]

    Therefore, $316 billions was the transaction volume in the year 2000.

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