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?

Question

Mathematics

Dante Norton

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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Answers (1)

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Rylie Copeland · Answer 1

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