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!

Note by Bithiah Koshy
7 months, 4 weeks 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!

- 7 months, 4 weeks ago

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

- 7 months, 4 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!

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

- 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.

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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 :)

- 7 months, 3 weeks ago

Nah not at all!! Thanks for your support!!

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

True! I didn't realize that!

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

Lmao!!! :))))))

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

I am in Victoria.

- 7 months, 3 weeks ago

- 7 months, 3 weeks ago

What is a NSW?

- 7 months, 3 weeks ago

New South Whales

- 7 months, 3 weeks ago

wow, that's a big posiedon related name!

- 7 months, 3 weeks ago

Ahemmmmmm not Whales like animal WHALES!! Lmao!

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

Yo true!

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

Wowwowowowwow that's sooooo coooooollll

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

life as a demigod is what mortals cannot get

- 7 months, 3 weeks ago

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...

- 7 months, 3 weeks ago

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

- 7 months, 3 weeks ago

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.

Staff - 7 months, 3 weeks ago