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Answer Key Practice A 1. direct variation 2. inverse variation 3. neither 4. inverse variation 8 9 9 5. y ; 2 6. y ; x x 4 12 36 7. y ; 9 8. y ; 3 x x 5 5 4 9. y ; 1 10. y ; 11. direct variation x

How to fill out direct and inverse variation

How to fill out direct and inverse variation

1. To fill out direct variation, follow these steps:
2. Determine if the two variables have a proportional relationship.
3. Write the direct variation equation in the form y = kx, where y is the dependent variable, x is the independent variable, and k represents the constant of variation.
4. Substitute the given values of x and y into the equation and solve for k.
5. Once you have the value of k, write the equation in its final form using the value of k. For example, if k = 3, the equation becomes y = 3x.
6. To fill out inverse variation, follow these steps:
7. Determine if the two variables have an inverse proportional relationship.
8. Write the inverse variation equation in the form y = k/x, where y is the dependent variable, x is the independent variable, and k represents the constant of variation.
9. Substitute the given values of x and y into the equation and solve for k.
10. Once you have the value of k, write the equation in its final form using the value of k. For example, if k = 2, the equation becomes y = 2/x.

Who needs direct and inverse variation?

1. Direct and inverse variation are concepts used in mathematics and physics.
2. Anyone studying or working in these fields needs to understand and apply direct and inverse variation.
3. Direct variation is commonly used in topics such as algebra, graphing, and solving equations.
4. Inverse variation is often used in physics, such as when studying force and distance relationships in Newton's law of universal gravitation.
5. Understanding direct and inverse variation is important for analyzing and predicting relationships between variables in various scientific and mathematical contexts.

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What is direct and inverse variation?

Direct variation is a relationship between two variables where an increase in one variable results in an increase in the other variable, expressed as y = kx, where k is a constant. Inverse variation is a relationship where an increase in one variable results in a decrease in the other, described by the equation y = k/x.

Who is required to file direct and inverse variation?

Individuals or entities that engage in financial transactions that exhibit direct or inverse variation, typically for the purpose of tax reporting or compliance, are required to file.

How to fill out direct and inverse variation?

To fill out direct and inverse variation forms, you must provide the variables involved, determine the relationship (whether it is direct or inverse), and calculate the constant k using the known values provided.

What is the purpose of direct and inverse variation?

The purpose of direct and inverse variation is to describe the relationship between two quantities, allowing for predictions and understanding of how one variable affects another in mathematical and real-world contexts.

What information must be reported on direct and inverse variation?

Information that must be reported includes the values of the variables, the constant of variation (k), the relationship type (direct or inverse), and any related contextual information necessary for understanding the variation.