The weight w of an object varies inversely as its width w
weight = k/w
the weight w of an object varies inversely to its size s equation
I believe there is a typo in your statement. The weight of an object cannot vary inversely as its width, as weight is typically determined by factors such as mass and gravitational force, not width. However, if you meant to say that the weight of an object varies inversely with its rate or speed, I can explain that relationship.
To determine whether two variables are inversely proportional, you need to understand the concept of inverse variation. Inverse variation occurs when one quantity increases while the other decreases, and their product remains constant.
In the case of weight and rate, if the weight of an object varies inversely with its rate, it means that as the rate of the object increases, the weight decreases, and vice versa.
To mathematically represent this relationship, we can use the equation:
w = k/r
Where w represents the weight of the object, r represents the rate, and k is a constant of variation.
To find the value of the constant k, you need specific data points that relate the weight and rate of the object. Once you have this data, you can substitute one set of values into the equation and solve for k. Then, you can use that value of k to determine the weight for any given rate value.
It's important to note that inverse variation is just one possible relationship between weight and rate. It would be helpful to have more context or a specific example to provide a more accurate explanation.