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 $k = \frac{y}{ x}$ . $k = \frac{y}{ x}$ 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!

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2 \times 3

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2^{34}

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a_{i-1}

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Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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 - 7 months, 3 weeks ago

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

A Former Brilliant Member - 7 months, 3 weeks ago

@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!

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

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

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

Half pass3 - 7 months, 3 weeks ago

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

This page is not satisfactory.

Bikyy Loki - 7 months, 3 weeks ago

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.

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

@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 :)

@A Former Brilliant Member – Nah not at all!! Thanks for your support!!

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

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

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

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

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

@A Former Brilliant Member – Lmao!!! :))))))

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

@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

@A Former Brilliant Member – @Half pass3 I am an Indian Chinese Australian mix. My mum is chinese dad is Indian. Interesting right!!

@Bithiah Koshy – I am in Victoria.

@Bithiah Koshy – ok sad i'm NSW

@Half Pass3 – What is a NSW?

@A Former Brilliant Member – New South Whales

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

@A Former Brilliant Member – Ahemmmmmm not Whales like animal WHALES!! Lmao!

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

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

@A Former Brilliant Member – welp, NSW is a huge state that you'll never find me.

@Half Pass3 – Yo true!

@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...

@A Former Brilliant Member – lol you did notice I attempted a street dance competition, long nice memory back in China.

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

@A Former Brilliant Member – Wowwowowowwow that's sooooo coooooollll

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

@A Former Brilliant Member – life as a demigod is what mortals cannot get

@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...

@A Former Brilliant Member – @Percy Jackson Yea totally in your dreams I bet. Demigod sounds like demon!

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 - 7 months, 2 weeks ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$