The ratio of the two variables is not the same for all pairs.
Table The difference in the values of the "dependent" variable is a fixed multiple of the difference between the corresponding values of the independent variable. And the value of the dependent variable is non-zero when the independent is zero.Graph A non-vertical straight line which does not pass through the origin.Equation y = mx + c (or equivalent) where m is some real number and c is non-zero.
A proportional relationship is of the form y = kx where k is a constant. This can be rearranged to give: y = kx → k = y/x If the relationship in a table between to variables is a proportional one, then divide the elements of one column by the corresponding elements of the other column; if the result of each division is the same value, then the data is in a proportional relationship. If the data in the table is measured data, then the data is likely to be rounded, so the divisions also need to be rounded (to the appropriate degree).
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Indeterminate. Since we are not given the area of the table, there is no way to determine how many tables fit inside that room.
The advantage is being given a straight answer, but in a graph it doesn't give you a straight answer, because there is a possibility of data being in between the plotted points.
Graphs, equations, and tables all provide ways to represent linear relationships, and they can be used to determine if a relationship is proportional or nonproportional. In a proportional relationship, the graph will show a straight line passing through the origin, the equation will have the form (y = kx) (where (k) is a constant), and the table will exhibit a constant ratio between (y) and (x). Conversely, a nonproportional relationship will show a line that does not pass through the origin, have an equation in a different form (like (y = mx + b) with (b \neq 0)), and display varying ratios in the table.
To determine if a relationship is linear from a table, check if the differences in the y-values (output) corresponding to equal differences in the x-values (input) are constant. For a graph, a linear relationship will appear as a straight line. In an equation, if the equation can be expressed in the form (y = mx + b), where (m) and (b) are constants, it indicates a linear relationship.
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Table The difference in the values of the "dependent" variable is a fixed multiple of the difference between the corresponding values of the independent variable. And the value of the dependent variable is non-zero when the independent is zero.Graph A non-vertical straight line which does not pass through the origin.Equation y = mx + c (or equivalent) where m is some real number and c is non-zero.
To determine if a relation given in a table is a function, check if each input (or x-value) corresponds to exactly one output (or y-value). This means that no x-value should appear more than once in the table with different y-values. If any x-value is paired with multiple y-values, the relation is not a function.
It depends on the value given in the table.
The field in a related table that matches a field in another table is called a foreign key. This foreign key establishes the relationship between the two tables in a database.
child table
To determine the order of reaction from a given table of data, you can look at how the rate of the reaction changes with the concentration of the reactants. If the rate is directly proportional to the concentration of a reactant, the reaction is first order with respect to that reactant. If the rate is proportional to the square of the concentration, the reaction is second order. By analyzing the data and observing how the rate changes with different concentrations, you can determine the order of the reaction.
That is impossible to determine given that the only information you have provided is that it was "really hard." What part of your head? What is the table made out of?
A proportional relationship is of the form y = kx where k is a constant. This can be rearranged to give: y = kx → k = y/x If the relationship in a table between to variables is a proportional one, then divide the elements of one column by the corresponding elements of the other column; if the result of each division is the same value, then the data is in a proportional relationship. If the data in the table is measured data, then the data is likely to be rounded, so the divisions also need to be rounded (to the appropriate degree).
The table has a pattern to it!