what is the different between direct variation and Inverse variation,, pls help i have a quiz tomorrow

Since this is not my area of expertise, I searched Google under the key words "direct inverse variation" to get these possible sources:

http://www.google.com/search?client=safari&rls=en&q=direct+inverse+variation&ie=UTF-8&oe=UTF-8

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

Ah, direct variation and inverse variation, you say? Let the comedic circus of explanations begin!

Direct variation is like having a best friend who copies everything you do. You both always go hand in hand, no matter where you go - just like your bestie might always wear matching outfits with you. If one variable increases, the other variable does too, and if one variable decreases, the other follows suit. It's a classic case of "you scratch my back, I scratch yours."

Inverse variation, on the other hand, is like having an arch-nemesis who does the exact opposite of what you do. If you decide to take a road trip to the beach, they plan a ski trip to the mountains. If you try to increase one variable, the other gets jealous and decreases in response. They can never seem to agree on anything, and it's a funky, unpredictable relationship.

So, in summary, direct variation is like a supportive best friend, while inverse variation is like a mischievous arch-nemesis. Just remember, both variations have their own unique circus acts, so don't let them confuse you too much! Good luck on your quiz!

Direct variation and inverse variation are mathematical relationships that describe how two variables are related to each other. Here's a step-by-step breakdown of the differences between the two:

1. Definition:
- Direct Variation: In direct variation, two variables, let's call them x and y, are directly proportional to each other. This means that as one variable increases, the other variable also increases, and vice versa. In direct variation, the equation can be written as y = kx, where k is called the constant of variation.
- Inverse Variation: In inverse variation, two variables, again denoted as x and y, are inversely proportional to each other. This means that as one variable increases, the other variable decreases, and vice versa. In inverse variation, the equation can be written as y = k/x or xy = k, where k is again the constant of variation.

2. Graphs:
- Direct Variation: If you were to graph a direct variation equation, it would always be a straight line passing through the origin (0, 0). The slope of the line would represent the constant of variation, k. As x increases, y also increases at a constant rate.
- Inverse Variation: On the other hand, if you were to graph an inverse variation equation, it would form a curve that decreases as x increases, and vice versa. The curve would never cross the x or y-axis. As one variable increases, the other variable decreases according to the equation.

3. Examples:
- Direct Variation: A classic example of direct variation is the relationship between speed and time. As time increases, the distance covered (speed times time) also increases.
- Inverse Variation: A common example of inverse variation is the relationship between the number of workers and the time it takes to complete a task. As the number of workers increases, the time taken to complete the task decreases.

It's important to note that direct and inverse variation represent idealized relationships, and in reality, some factors may affect the relationship between variables. However, understanding these concepts can be useful in solving mathematical problems and analyzing real-world situations.

Remember to review these concepts thoroughly and practice solving problems to prepare for your quiz. Good luck!

Direct variation and inverse variation are two types of relationships between variables.

Direct variation occurs when two variables increase or decrease together at a constant ratio. In other words, as one variable increases, the other variable also increases, and as one variable decreases, the other variable also decreases. The equation representing direct variation is y = kx, where y and x are the variables, and k is the constant of variation.

To identify direct variation, you need to check if the ratio between the two variables remains constant throughout different sets of values. If the ratio between y and x remains the same, then it is a direct variation. You can solve for the constant of variation (k) by choosing any value for y and x and dividing them to find the constant ratio.

Inverse variation occurs when two variables change in opposite directions at a constant product. In other words, as one variable increases, the other variable decreases, and vice versa. The equation representing inverse variation is y = k/x, where y and x are the variables, and k is the constant of variation.

To identify inverse variation, you need to check if the product of the two variables remains constant throughout different sets of values. If the product of y and x remains the same, then it is an inverse variation. You can solve for the constant of variation (k) by choosing any value for y and x and multiplying them to find the constant product.

In summary, direct variation is when two variables increase or decrease together at a constant ratio, while inverse variation is when two variables change in opposite directions at a constant product. To distinguish between the two, you need to analyze whether the ratio or the product of the variables remains constant.