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Constant of Proportionality

by Sarah
(Wisconsin)

Time vs. Distance

Time vs. Distance











































Proportionality & Unit Rate

Find the constant of proportionality and the unit rate for the data in the table.

Then write an equation to represent the relationship between time t and distance d shown in the time and distance table.

Comments for Constant of Proportionality

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May 07, 2013
Proportionality & Unit Rate
by: Staff


Answer

Part I

Direct Proportion: time and distance

A direct proportion between time and distance means that distance is a constant multiple of time.

The equation for your question looks like this:

A direct proportion between time and distance means that distance is a constant multiple of time.





k is a constant. It is called the “constant of proportionality" , or “constant of variation”. Both terms mean the same thing. The terms are interchangeable.

The constant of proportionality means that DIVIDING the DISTANCE by the TIME is a CONSTANT value (k, the constant of variation).


To solve for k, divide each side of the equation by the variable "time":

To solve for k, divide each side of the equation by the variable 'time'.





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May 07, 2013
Proportionality & Unit Rate
by: Staff


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Part II

Calculate the constant of proportionality from the table of values

Calculate the constant of proportionality from the table of values.





Regardless of which two values you choose from the table, the value of k will be the same:

k = 90/2 = 45

k = 135/3 = 45

k = 225/5 = 45

k = 270/6 = 45


The final equation which represents the relationship between time t and distance d shown in the time and distance table is:

The final equation which represents the relationship between time t and distance d shown in the time and distance table








Thanks for writing.

Staff
www.solving-math-problems.com



Mar 15, 2015
Problems NEW
by: Olga

I like

Oct 14, 2015
WTF NEW
by: Bruce Nolan

WhatTheFreak I SAID CONSTANT OF PROPORTIONALITY?

Dec 15, 2016
constant of proportionality NEW
by: Anonymous

Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes this relationship?

May 08, 2017
dfsd NEW
by: Anonymous

dfsa

Nov 29, 2017
Stupid website NEW
by: Anonymous

thank you, that's what I said (Constants of proportionality.

Dec 05, 2017
Why NEW
by: Anonymous

how was this helpful? This was not helpful at all. sure it was correct but not relavent to the title

Mar 14, 2018
ok NEW
by: Anonymous

ok, um, still don't get it... help!

Apr 29, 2018
wrong formula NEW
by: Anonymous

The formula you just put up was for the unit rate of the table, not the constant of proportionality.

Nov 02, 2018
I CAN’T GO TO COOOOOLEDGE NEW
by: Dwight K. Shrute

DON’T EVEN TRY THIS THING. I GOT AN F IN MATH AND NOW I CAN’T GO TO COOLEDGE!! MN I REALLY WANTED TO GO TO HARDVARD

Jan 08, 2019
stewpid NEW
by: Anonymous

doesn't match the title at ALL. no help whatsoever

Jul 02, 2019
Still.. NEW
by: Anonymous

doesn't help me at all.....

Oct 03, 2019
This is total BS NEW
by: WTF?

Common Core is the absolute, terrible POS to be introduced in this country. No wonder we are the laughing stock of the world.

Nov 21, 2019
#2 - a NEW
by: Anonymous

2x=10y

Jan 28, 2020
Help NEW
by: Anonymous


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I thought the Constant of Proportionality is basically just like a unit rate? So my problem is about the proportional relationship, and it's on a graph

Problem:
There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. If the mass of a sample is 5 grams, its volume is 28 liters. (5,28) is shown on the graph below.

(̴̰̪̥͓͈͝(̵͚̤̖̭̤̣̋̔͐́̄̓G̵̱̙̭͐̏̎͑̋̆͝͠͠ȑ̷̻͙̗̙̘̉͛̍͝a̶̡̼͉̖̜̤̟̯͛̀͜p̶̛̬͙̳͙̮̬͉̠̦̊͛̐̔̾͗͒ḧ̴̹̮̩̰͕́̇̐͑̇̔͝͝ͅ ̴͍̯̔̅̈́̈́̃̔͊N̷̨̨̥͖̤̠̞͚̒̀́̅͒̂͜͝͝o̴͍̍i̶̛͉̙̓͛̄͒ͅs̶̛̜̥͇̎̇̈ê̷͕͚͍̾̌̒̿̓̍̆̚s̶̜̗̞͓̜̰̭̮͒)̷̡̨̻̣̗͚̆͑̈̂)̷̦̯̩͖̭̠̣͐̀̋͑̎͠

a. What is the constant of proportionality in this relationship?

b. In this situation, what is the meaning of the number you found in part a?

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║╔═╗║║───────║║───║║────║║
║╚═╝║║╔═══╗╔═╝╠══╗║╚═╦══╣║╔══╗
║╔══╣║╠══║║║╔╗║╔╗║║╔╗║║═╣║║╔╗║
║║──║╚╣║══╣║╚╝║╚╝║║║║║║═╣╚╣╚╝║
╚╝──╚═╩═══╝╚══╩══╝╚╝╚╩══╩═╣╔═╝
──────────────────────────║║
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Feb 20, 2020
No help pls NEW
by: Anonymous

N0 h31p p15

Apr 23, 2020
For NEW
by: Anonymous

Nigeria

May 04, 2020
this website is stupid NEW
by: wtf

bruh wtf is this. this is not a calculator

May 14, 2020
How tf is the a calculator NEW
by: Anonymous

This was no help whatsoever. How is this a calculator?

Sep 29, 2020
this website sucks NEW
by: SAPPHIRE

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