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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.

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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
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by: Olga

I like

Oct 14, 2015
WTF NEW
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WhatTheFreak I SAID CONSTANT OF PROPORTIONALITY?

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