They are all proportional to some other ratio.
The ratio of volumes is directly proportional to the cube of the ratio of their sides. And, incidentally, all cubes are similar.
A relationship is proportional if it maintains a constant ratio between two variables. This can be determined by plotting the data on a graph; if the points form a straight line that passes through the origin (0,0), the relationship is proportional. Additionally, you can check if the ratio of the two variables remains the same for all pairs of corresponding values. If the ratio changes, the relationship is not proportional.
The answer is proportional.
A table is proportional if the ratio of the values in one column to the values in another column remains constant across all pairs of data. To determine this, you can calculate the ratio for each pair of corresponding values and check if they are all equal. If the ratios are consistent, the relationship is proportional; if not, it is not proportional. Additionally, plotting the data on a graph should yield a straight line through the origin if the relationship is proportional.
stress is directly proportional to strain up to the proportional limit. Their ratio is young's modulus.
The ratio of the two variables is not the same for all pairs.
To determine if a table shows a proportional relationship between ( a ) and ( b ), you need to check if the ratio ( \frac{b}{a} ) remains constant for all pairs of values. If the ratio is the same across the entire table, then ( a ) and ( b ) are proportional. Additionally, if the values of ( b ) can be expressed as a constant multiple of ( a ), that also indicates a proportional relationship.
Proportional
Proportional
In mathematics, two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
For proportional relationships the ratio is a constant.
To determine if an equation is proportional, check if it can be expressed in the form ( y = kx ), where ( k ) is a constant. This indicates that the ratio of ( y ) to ( x ) remains constant. Additionally, you can analyze a set of data points; if the ratio ( \frac{y}{x} ) is the same for all points, the relationship is proportional. If the graph of the equation passes through the origin (0,0) and is a straight line, it is also indicative of a proportional relationship.