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?
{c=40s+2
c=20s+4
{c=40+2s
c=20+4s
{c=42s
c=24s
{c=40−2s
c=20−4s
1 answer:
Let's begin ! ^_^ You have got informations in your problem that you just have to translate in a "mathematic language". Company A : "$40 membership fee and $2 per video stream." Thanks to that, you can guess : c = 40 + 2s Now let's do the same thing to the company B. Company B : "charges a one-time $20 membership fee and $4 per video stream." Therefore, c = 20 + 4s. I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is : {c=40+2s ( Option B) c=20+4s. Second step : For how many video streams will the cost be the same for both companies? We just have to solve the system :) And there is only one variable, the letter "s". We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so : => 40 + 2s = 20 +4s => 4s - 2s = 40 - 20 => 2s = 20 => s = 20/2 => s = 10 Verification : Company A : => 40 + 2s = 40 + 2*10 = 40 + 20 =60. Company B : => 20 + 4s = 20 + 4*10 = 20 + 40 = 60 As you have seen, the costs are the same for both companies. We can say that as a conclusion for 10 video streams, the cost will be the same for both companies. In short, the answer would be : 10. Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language. Hope this helps ! Photon
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