# Constant of Proportionality

by Sarah
(Wisconsin)

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

 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: 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": -------------------------------------------

 May 07, 2013 Proportionality & Unit Rate by: Staff ------------------------------------------- Part II 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: 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.

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 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 ██╗░░██╗███████╗██╗░░░░░██████╗░ ██║░░██║██╔════╝██║░░░░░██╔══██╗ ███████║█████╗░░██║░░░░░██████╔╝ ██╔══██║██╔══╝░░██║░░░░░██╔═══╝░ ██║░░██║███████╗███████╗██║░░░░░ ╚═╝░░╚═╝╚══════╝╚══════╝╚═╝░░░░░ ---------------------------------------------------------------------------- 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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 May 14, 2020 How tf is the a calculator NEW by: Anonymous This was no help whatsoever. How is this a calculator?

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 Oct 12, 2020 Answer NEW by: Anonymous the constant of proportionality is 45. Hoped this helped!

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