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graph inverse relationship

by john
(newyork)











































how to calculate inverse relations using a graph

An “inverse variation” means that when one variable increases, the other variable decreases.

The equation f(x) = 1/x is an example of an inverse relationship.

When the variable x increases, the function f(x) decreases.

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Jan 31, 2011
Graph Inverse Relationship
by: Staff


The question:

by John
(New York)

how to calculate inverse relations using a graph



The answer:

An “inverse relationship” is also referred to as an “inverse variation”.

(“Inverse variation” should NOT be confused with finding an “INVERSE FUNCTION” for an equation.)

An “inverse variation” means that when one variable increases, the other variable decreases.

For example, the equation y = 1/x is an inverse relationship. When the variable x increases, the variable y decreases.

When plotted as a graph the equation y = 1/x looks like this (click link to view):

http://www.solving-math-problems.com/images/graph-inverse-relationship.png


How to read the values of x and y from the graph (click link to view):

http://www.solving-math-problems.com/images/graph-inverse-relationship-values.png

There are many examples of inverse variations in everyday life.

1): The heart rate times the lifespan of most mammals is equal to a constant. If the heart rate goes up, the life span decreases.

2): How bright a light bulb appears to you depends on your distance from it. The further you are from the light bulb, the dimmer the light bulb seems to be.

3): The musical sound (pitch) produced by a panpipe varies inversely with the length of the pipe. The longer the pipe, the higher the pitch.

4): The distance an electric car can be driven without recharging the battery varies inversely with the speed of the car. The higher the driving speed, the shorter the distance the car can be driven before the battery needs to be recharged.

(If you are curious of how to calculate the range of any electric car, based on speed, click the link below:

http://www.evconvert.com/tools/evcalc/)




Thanks for writing.


Staff
www.solving-math-problems.com


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