Types of proportions are ________.Choices:- direct variation inverse variation None of these Both direct and indirect

To answer the question regarding types of proportions, we can analyze the options provided:

1. Direct Variation: This indicates a relationship where one variable is directly proportional to another. Mathematically, this is expressed as $y = kx$, where $k$ is a constant.

2. Inverse Variation: This indicates a relationship where one variable increases as the other decreases. The mathematical expression for this is $y = \frac{k}{x}$, where $k$ is again a constant.

3. None of These: This option suggests that the correct answer does not fall under direct or inverse variation.

4. Both Direct and Indirect: This option implies both types of variations exist.

Analysis:

• Direct and inverse variation are both valid types of proportions used in mathematics to describe relationships between quantities.
• Therefore, the option "Both direct and indirect" is inaccurate as indirect variation is typically not used but instead is commonly referred to as inverse variation.

Conclusion:

Based on the definitions and mathematical expressions provided, the correct answer is: Both direct and inverse variation.