Proportional Relationship Intro

Hi everyone! This page is an introduction to proportional relationships. It is short but I hope everyone finds it useful, enjoy!

Now the ratio of the distance in miles to the distance in meters is constant ,

                               1 mile = 1609/) meters same as saying y = 1609 x
                     where x represents no. of meters and y represents no. of miles.

This relations is said to be proportional . A proportional relation is a relation between two qualities in which the ratio of one quantity to the other quantity is constant.

A proportional relationship can be described by an equation of the form of y = kx, where k is a number called the constant of proportionality.

Looking back at our example, 1609 would be are constant of proportionality, it never changes. Because duh, it's a constant. Another useful form of the equation is k=yxk = \frac{y}{ x} . k=yxk = \frac{y}{ x} is needed when you are trying to find the constant of proportionality.

We are currently talking about proportional relationship in the algebraic way. How about on a graph? Well, on a graph, in order to know whether it is proportional or not is seeing the line pass the origin or in other words pass (0,0).

My next discussion post will be about linear equations. Feel free to comment below for any ideas and improvements! Hope you liked it! Thanks!

Note by Bithiah Koshy
1 month, 1 week ago

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Hi everyone, please feel free to comment and help me improve! I currently need some ideas for discussions that maybe useful for you! Thank you!

Bithiah Koshy - 1 month, 1 week ago

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Nice! How about Inverse Proportions? k=xyk = xy where k is the constant of proportionality?

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson isn't k = x/y because y = kx ?Well I would be glad to do something about Inverse proportions thx for the feedback!

Bithiah Koshy - 1 month, 1 week ago

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No, no

Direct proportions - If x is increased, y will increase by same ratio

Inverse Proportions - If x is increased, y will decrease by same ratio

Example -

Miles and meters are directly proportional, so if you have y miles, that will equal 1609y meters

Speed and time are inversely proportional, as if speed is more, then time taken to travel the distance is less, while if speed is less, more time is needed to cross the same distance. So if you are traveling a distance D, with speed of D kmph, you will take 1 hour, but if you go with speed of D/2 kmph, you will take 2 hours. In other words, Speed x Time is always a constant D

In direct proportions, Meters/Miles is 1609, a constant, but in Inverse Proportionality, Speed x TIme is a constant

So Direct Proportions - k = x/y

Inverse Proportions - k = x multiplied by y

Percy Jackson - 1 month, 1 week ago

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I mean oh okay I got a bit confused ooops! I thought you meant direct proportion!

Bithiah Koshy - 1 month, 1 week ago

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Just saying, it can also be k=nynxk= \frac {ny} {nx}, nn can stand for any number and kk doesn't change.

Half pass3 - 1 month, 1 week ago

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also for the graph, maybe you can add to this? proportional relationship graph

Half pass3 - 1 month, 1 week ago

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This page is not satisfactory.

Bikyy Loki - 1 month, 1 week ago

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That's plain rude. Atleast he/she made something nice. All you have done in your Brilliant membership is post one hate comment. Not even one solved problem. So shut your trap, until you learn to appreciate or speak politely.

Percy Jackson - 1 month, 1 week ago

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I am a she, 13 years old hehehe I reported Bikky via contact support.

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy Ok. I just don't like people who come and act like they know everything and give hate to people who have done great things. Sorry if I posted something offensive :)

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson Nah not at all!! Thanks for your support!!

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy I just realised @Bikyy Loki has not solved or attempt any question but made 1 comment on this, lol.

Half pass3 - 1 month, 1 week ago

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@Half Pass3 True! I didn't realize that!

Bithiah Koshy - 1 month, 1 week ago

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whoa, chill out, use some more appropriate and persuasive words instead would you.

Half pass3 - 1 month, 1 week ago

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@Half Pass3 @Half pass3 you're 13 as well in Australia? What a coincidence!

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy Well, that makes 3 of you, Nathan, HalfPass, and now, the newest member of the Aussie 13 club, its Bithiah! lol

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson Lmao!!! :))))))

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy @Bithiah Koshy, I have a feeling that we're in the same state, and wait... you are Chinese too?

Half pass3 - 1 month, 1 week ago

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@Half Pass3 Great, just great! I reckon that in a couple of days Brilliant will be overrun with 13 year old Aussies, half of which are of Chinese origin...lol

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson @Half pass3 I am an Indian Chinese Australian mix. My mum is chinese dad is Indian. Interesting right!!

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy I am in Victoria.

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy ok sad i'm NSW

Half pass3 - 1 month, 1 week ago

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@Half Pass3 What is a NSW?

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson New South Whales

Half pass3 - 1 month, 1 week ago

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@Half Pass3 wow, that's a big posiedon related name!

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson Ahemmmmmm not Whales like animal WHALES!! Lmao!

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy Yea can say so NSW is a type of New Southern Whale!

Bithiah Koshy - 1 month, 1 week ago

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@Half Pass3 And I thought you cared 'bout cybersecurity...Nate should really nuke you sometime lol

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson welp, NSW is a huge state that you'll never find me.

Half pass3 - 1 month, 1 week ago

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@Half Pass3 Yo true!

Bithiah Koshy - 1 month, 1 week ago

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@Half Pass3 Sure, but who knows, maybe I'll find an annoying 13 year old street dancer if I ever go there after Corona is done...

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson lol you did notice I attempted a street dance competition, long nice memory back in China.

Half pass3 - 1 month, 1 week ago

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@Half Pass3 Ya, saw it on your profile. Street dancing now would be suicide tho...

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson Wowwowowowwow that's sooooo coooooollll

Bithiah Koshy - 1 month, 1 week ago

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@Bithiah Koshy Woah! And I was here thinking I'm interesting because I'm the child of a mortal and a god!

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson life as a demigod is what mortals cannot get

Half pass3 - 1 month, 1 week ago

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@Half Pass3 You won't like the life of a demigod anyway. I get attacked by thousands of monsters everyday just because I turn on my PC to study...

Percy Jackson - 1 month, 1 week ago

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@Percy Jackson @Percy Jackson Yea totally in your dreams I bet. Demigod sounds like demon!

Bithiah Koshy - 1 month, 1 week ago

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Swear words are strictly prohibited on this site. I've edited your comment.

If you repeat this offense again, I will take action on your account.

Brilliant Mathematics Staff - 1 month, 1 week ago

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