MCR3U - What Ticket Price Maximizes Revenue Quadratic Word Problem - Grade 11 Functions

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key words: FIN300, FIN 300, FIN401, FIN 401, QMS 102, QMS 101, QMS10, ADMS 3530, ADMS3530, ADMS 4501, ADMS 4502, RYERSON UNIVERSITY, YORK UNIVERSITY, QUEENS UNIVERSITY, COMM 121, COMM121, COMM122, COMM 122, MAT133, MAT 133, MCV4U, MHF4U, MPM2D, MPM1D, MAT 134, MAT 135, calculus and linear algebra, MISSISSAUGA, TORONTO, calculus, advanced functions, grade 12, grade 11, high school, COMM 298, UBC, ACC 100, Ryerson, AMF 102, Waterloo university, STATS 1024, CALC 1000, Western University
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[@ridhamarium5061]

illustrated below, a frame for a picture is 212 inches wide. The picture enclosed by the frame is 5 inches longer than it is wide. If the area of the picture itself is 300 square inches, determine the outer dimensions of the frame?

[@dr.manikdhawan5725]

Let the width of picture = X
since it is told that length is 5 inches more than width,
we can say length = x+5.
Area of picture = length * width; area given is 300, plug it in equation, as well as our other values
300 = (x+5) * (x)
300 = (x)^2 + 5x
use 0 = a(x)^2 + bx + c
0 = (x)^2 + 5x - 300
Factor this, i used photomath lol
0 = (x+20)(x-15)
Length is 20, width is 15
So these are your dimensions for the picture. Pretty stupid of the question to say the frame is 212 inch wide.
Since it is 212 inch wide, this means it is wide on all 4 sides
The dimensions for frame are length = 20 + 212; Width = 15 + 212
L = 232; W= 227
I am just in grade 11, dont trust this solution too much lol

[@ridhamarium5061]

@@dr.manikdhawan5725 thanks!

[@acrooo]

Thank you so much for being my clutch 20 minutes before my algebra test… 🙏

[@soheilaghassemi1095]

Thanks, actually, I have no experience for apply questions, but you explain very well.

[@tagamer1649]

im confused at 6:33 point - Where does the 4-4 come from? Why did you do that, couldn't you just have not put that part in and added 600 after -4x was written in the equation

[@kookiescocochips612]

It's a part of the process of "completing the square", a step necessary in converting this equation to vertex form and thus ultimately finding the vertex. I recommend you look into it prior to jumping directly to this problem, as it will only continue to reappear in other maximum/minimum word problems :)

[@hughjass2955]

You are so useful. This is great for review.

[@AllThingsMathematics]

thanks :) happy to help!

[@rjx1495]

That was extremely helpful. You have my thanks.

[@ammar_arain]

How did you get (8)(80)?

[@ammar_arain]

@Lamia Chowdhury Ohh thanks!

[@gabrielle591]

how did he?

[@ammar_arain]

@@gabrielle591 This was 7 months ago so I don't really remember but I think it was because x=2 and (6+1x) turned into 8 and (100-10x) turned into 80 once you replaced the x with 2.

[@jah_141]

substitute 2 into the equation

[@TrillzX]

You clutch

[@warrenmoua9054]

video anda sangat bagus dan mempunyai mesej yang luas terima kasih

[@toxicdubz3841]

ya guru ini cerdas

[@lsfjsjfssdfjlsdfj1655]

bro how is this grade 11 functions.... grade 9 are able to solve it.

[@KayleeTaye]

grade 8 too

[@jah_141]

This is grade 6 bro

[@user-zp8ly2tw4t]

The sound of the videos is not good

[@jah_141]

It's fine