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adl_thoo
 2 years ago
Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?
Play A: y = 15x + 76
Play B: y = –x^2 + 36x – 4
adl_thoo
 2 years ago
Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A: y = 15x + 76 Play B: y = –x^2 + 36x – 4

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Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1You could set both equations equal to each other or graph and see where they intersect.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, all you are trying to do is find where the two graphs intersect, so setting the two equal to each other will give you the answer.

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0is that my quickest way? i have 40 questions. and im only on 13.

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, listen to Miss Bear :P

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Judging from your previous problems, I think your teacher is emphasizing the quadratic formula, so yes you will have to go through it once again =P

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0UGH , it confuses me badly.

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1I could give the solution if that'll help speed things along for you?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1It confuses you? What part of it confuses you?

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0The attendance was the same on day 5. The attendance was 151 at both plays on that day. The attendance was the same on day 16. The attendance was 316 at both plays on that day. The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively. The attendance was never the same at both plays. these are my answer choices.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1It is a strategy used to figure out what value x has to be to make the quadratic equation equal to 0. Does that help?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Honestly I am trying my hardest not to solve the problem, both for your practice and to fuel my laziness xD Luigi, would you like to solve it?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1Do you want a graph to help visual the equations?

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0it doesnt matter. thats fine.

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1It's kinda big sorry about the size

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Now that you see the intersecting points, you have to realize something about this problem. This is a problem that is using months for the x axis. Tell me why there is in reality only one solution to this problem?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Don't overthink it, this is more of a common sense thing. Also, you could see the reason using the attendance number as well (y axis).

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1If I solved it right, and I probably didn't but the exact answer would be \[\frac{ 21+/\sqrt{761} }{ 2}\]

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1But it would be the positive answer because you can't have negative units

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0would it be C? The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Look at what Luigi wrote. You can't have a negative number of people, or negative number of months for that matter.

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1The points of intersection is (3.2931, 125.397)

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0exactly. so answer C would be correct, right?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1I may just be looking at the graph wrong, but that shouldn't be it. C is telling you that there are two solutions to this problem. What Luigi and I were trying to tell you is that there is only one valid answer here.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Are you understanding what I'm saying?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1So what the intersection points are say is that there are 125 people on day 3

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1Are you understanding this or are getting more confused? :l

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1I'm sorry ^_^' what specifically is confusing you?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Okay think about it like this. If you were to take exactly what the graph told you as the solutions of the problem, you would have a negative number for something that can't be negative.

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0a lot. idk why i think it is C .. idk ): is it B ?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1C would make sense if you were just trying to find solutions to the raw graphs, but we are looking at a real life scenario.

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0exactly... so, would it change my answer to B ?

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1I feel like it's A, because the point on the graph looks more like (5, 151) than (16, 316)

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1You're probably thinking of it as a general graph like bear is saying. But think of it this way. When dealing with real life, is it possible to have negative audience and/or negative days?

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0no.. so, a ,, is correct?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1And what are the solution choices? I must of missed them ._.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1It was (5, 151) for A, and (16, 316) for B. C said that both are true, and D said neither are true.

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0yeah, what she said . ^_*

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1But yet again she is the smart one here so..

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1But what is bothering me is why they would consider (16, 316) as a possible solution. It's not even the negative solution... it's not anywhere on the graph xD

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Maybe the graph is wrong...

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0ahhh , im confused. @primeralph , what would your input be on this question ?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1Oops, bear is right I used the wrong equation

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0ohh goodness. so my answer is A ?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1I'm so sorry for messing this up D:

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Oh okay, but I just plugged the B coordinates into the original equations, and it worked.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Let me try for A next.

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1I'm so sorry for messing this up D:

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1Imma just say, equate the two y's. Find an x. Then plug into any one of the equations.

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0its fine.. & okay, ive gotten so confused. idk what to do :(

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Okay I just confirmed that it is B

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1And no you were right the answer is A or whatever the points are

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1The graph threw me off, I just went brute force and plugged everything in, and only (16, 316) worked.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1But aren't they equal at (16, 316)? Luigi, can you plug in the points into the equations to check?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1As it turns out both work :/

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1So adl was right after all

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1Oh look, my calculator was messing with me. Yes both work.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1My calculator never did like order of operations .

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1368580026141:dw

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0noo . im still figuring this out.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1We were struggling for a long time and eventually got it, but your input helps reassure us, or me at least ^^

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1plug in both 5 and 16 separately into eq A. That gives the number of people

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0Sooo , wasit A B or C ?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1My stupidity has made this a bit harder than it needed to be

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1It is C, because both work.

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1That was extremely stressful...

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0lol, itss, yay !! :D thanks guys.

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1I don't know what the options are. It's really not stressful at all

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1errr.............I knew what to do.............

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1It was just because I graphed the wrong equations :l

smokeydabear
 2 years ago
Best ResponseYou've already chosen the best response.1It was only confusing because of Luigi's graph! >:0 But it's okay Luigi, I still wuv you <3

primeralph
 2 years ago
Best ResponseYou've already chosen the best response.1so what did you get?

Luigi0210
 2 years ago
Best ResponseYou've already chosen the best response.1Next time don't listen to me :P

adl_thoo
 2 years ago
Best ResponseYou've already chosen the best response.0its okay guys :) we got it as The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively.
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