Direct variation refers to a relationship between two variables in which one variable changes proportionally with respect to the other. In other words, as one variable increases, the other variable also increases at a constant rate.
To solve a direct variation problem, you need to use the formula y = kx, where k is the constant of variation. You can determine the value of k by plugging in the given values for x and y and solving for k. Once you have the value of k, you can plug it back into the formula to find the value of y for any given x.
This equation represents a direct variation problem in which y is inversely proportional to x. This means that as x increases, y decreases, and vice versa. The constant of variation in this case is 2.
Yes, direct variation problems can have negative values. The important thing to remember is that the relationship between the two variables remains constant. So, if one variable is negative, the other variable will also be negative, but at a constant rate.
Direct variation can be applied in various real-life situations, such as calculating the cost of a product based on its weight, determining the speed of an object based on the distance traveled, or estimating the time it takes to complete a task based on the number of people working on it. In general, any situation where two quantities have a proportional relationship can be solved using direct variation.