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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
 11 months ago
 11 months 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
 11 months ago
 11 months ago

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Luigi0210Best ResponseYou've already chosen the best response.1
You could set both equations equal to each other or graph and see where they intersect.
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Yes, 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.
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
is that my quickest way? i have 40 questions. and im only on 13.
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
Yes, listen to Miss Bear :P
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Judging 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
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
UGH , it confuses me badly.
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
I could give the solution if that'll help speed things along for you?
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
It confuses you? What part of it confuses you?
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
The 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.
 11 months ago

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

smokeydabearBest ResponseYou've already chosen the best response.1
Honestly 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?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
Do you want a graph to help visual the equations?
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
it doesnt matter. thats fine.
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
It's kinda big sorry about the size
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Now 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?
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Don'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).
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
If I solved it right, and I probably didn't but the exact answer would be \[\frac{ 21+/\sqrt{761} }{ 2}\]
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
But it would be the positive answer because you can't have negative units
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
would 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.
 11 months ago

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

Luigi0210Best ResponseYou've already chosen the best response.1
The points of intersection is (3.2931, 125.397)
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
exactly. so answer C would be correct, right?
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
I 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.
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Are you understanding what I'm saying?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
So what the intersection points are say is that there are 125 people on day 3
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
Are you understanding this or are getting more confused? :l
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
I'm sorry ^_^' what specifically is confusing you?
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Okay 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.
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
a lot. idk why i think it is C .. idk ): is it B ?
 11 months ago

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

adl_thooBest ResponseYou've already chosen the best response.0
exactly... so, would it change my answer to B ?
 11 months ago

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

Luigi0210Best ResponseYou've already chosen the best response.1
You'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?
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
no.. so, a ,, is correct?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
And what are the solution choices? I must of missed them ._.
 11 months ago

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

adl_thooBest ResponseYou've already chosen the best response.0
yeah, what she said . ^_*
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
But yet again she is the smart one here so..
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
But 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
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Maybe the graph is wrong...
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
ahhh , im confused. @primeralph , what would your input be on this question ?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
Oops, bear is right I used the wrong equation
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
ohh goodness. so my answer is A ?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
I'm so sorry for messing this up D:
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Oh okay, but I just plugged the B coordinates into the original equations, and it worked.
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Let me try for A next.
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
I'm so sorry for messing this up D:
 11 months ago

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

adl_thooBest ResponseYou've already chosen the best response.0
its fine.. & okay, ive gotten so confused. idk what to do :(
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Okay I just confirmed that it is B
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
And no you were right the answer is A or whatever the points are
 11 months ago

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

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

Luigi0210Best ResponseYou've already chosen the best response.1
As it turns out both work :/
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
So adl was right after all
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
Oh look, my calculator was messing with me. Yes both work.
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
My calculator never did like order of operations .
 11 months ago

primeralphBest ResponseYou've already chosen the best response.1
dw:1368580026141:dw
 11 months ago

primeralphBest ResponseYou've already chosen the best response.1
yo, was I too late?
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
noo . im still figuring this out.
 11 months ago

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

primeralphBest ResponseYou've already chosen the best response.1
plug in both 5 and 16 separately into eq A. That gives the number of people
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
Sooo , wasit A B or C ?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
My stupidity has made this a bit harder than it needed to be
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
It is C, because both work.
 11 months ago

smokeydabearBest ResponseYou've already chosen the best response.1
That was extremely stressful...
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
lol, itss, yay !! :D thanks guys.
 11 months ago

primeralphBest ResponseYou've already chosen the best response.1
I don't know what the options are. It's really not stressful at all
 11 months ago

primeralphBest ResponseYou've already chosen the best response.1
errr.............I knew what to do.............
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
It was just because I graphed the wrong equations :l
 11 months ago

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

primeralphBest ResponseYou've already chosen the best response.1
so what did you get?
 11 months ago

Luigi0210Best ResponseYou've already chosen the best response.1
Next time don't listen to me :P
 11 months ago

adl_thooBest ResponseYou've already chosen the best response.0
its 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.
 11 months ago
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