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15 January, 15:22

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream. Let the variable s represent the amount of videos streamed and let the variable c represent the cost. For how many video streams will the cost be the same for both companies? Which system of equations can be used to solve this problem?

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  1. 15 January, 19:10
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    If you would like to know for how many video streams will the cost be the same for both companies, you can calculate this using the following steps:

    Company A:

    $40 membership fee

    $2 per video stream

    Company B:

    $20 membership fee

    $4 per video stream

    s ... the amount of videos streamed

    c ... the cost

    For how many video streams will the cost be the same for both companies?

    c = c

    40 + 2 * s = 20 + 4 * s

    40 - 20 = 4 * s - 2 * s

    20 = 2 * s / 2

    s = 20 / 2

    s = 10 video streams

    The cost will be the same for both companies for 10 video streams.

    System of equations used to solve this problem:

    c = 40 + 2 * s

    c = 20 + 4 * s
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