Inverse variation or direct or neither?

MHB
Thread starter woof123
Start date Jun 21, 2016
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Inverse Variation

In summary, inverse variation is when one variable increases while the other decreases, direct variation is when both variables change in the same direction, and a relationship can be neither inverse nor direct if there is no clear pattern or trend between the two variables. To identify the type of relationship, you can plot the data on a graph and see if the points form a straight line or a curved line. The main difference between inverse and direct variation is the direction of change between the two variables.

Jun 21, 2016

woof123

the volume of a sphere: V=(4/3)pi*r³

To me it looks like it is direct variation with a power function (V/r³=(4/3)*pi)but i don't think that's what they're looking for

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Jun 21, 2016

Deveno

Science Advisor

Gold Member

MHB

Strictly speaking, neither, as $V$ does not vary directly with $r$.

It does, however, vary directly with $r^3$, as $\dfrac{4}{3}\pi$ is a constant.

Related to Inverse variation or direct or neither?

1. What is inverse variation?

Inverse variation is a type of relationship between two variables where one variable increases while the other decreases, or vice versa. This means that as one variable changes, the other changes in the opposite direction.

2. What is direct variation?

Direct variation is a type of relationship between two variables where one variable increases or decreases at a constant rate while the other variable also increases or decreases at a proportional rate. This means that as one variable changes, the other changes in the same direction.

3. How can I identify if a relationship is inverse or direct?

A relationship is inverse if one variable increases while the other decreases. A relationship is direct if both variables increase or decrease at a constant rate. To identify the type of relationship, you can plot the data on a graph and see if the points form a straight line or a curved line.

4. What is the difference between inverse and direct variation?

The main difference between inverse and direct variation is the direction of change between the two variables. In inverse variation, one variable increases while the other decreases, while in direct variation, both variables change in the same direction.

5. Can a relationship be neither inverse nor direct?

Yes, a relationship can be neither inverse nor direct. This means that there is no clear pattern or trend between the two variables, and their changes are not related to each other. In this case, the variables are said to have no correlation or a weak correlation.