To identify a unit rate or constant of proportionality in a table, look for a consistent ratio between two quantities, where one quantity is typically expressed per unit of the other. In a graph, the constant of proportionality is represented by the slope of the line; if the line passes through the origin, the slope indicates the unit rate. In an equation of the form (y = kx), the constant (k) represents the constant of proportionality, indicating how much (y) changes for each unit increase in (x).
Which of the following is a disadvantage to using equations?
A table, a graph, and an equation.
Divide any number in the second set by the corresponding number in the first set.
It is a relationship in which changes in one variable are accompanied by changes of a constant amount in the other variable and that the variables are not both zero.In terms of an equation, it requires y = ax + b where a and b are both non-zero.
In a table, divide a number in one column by the corresponding number in the other column. In a graph it is the gradient of the line. The equation, for the variables X and Y will be of the form Y = mX and the constant of proportionality is m.
If the relationship between two variables in a table is that of direct variation, then the unit rate or the constant of proportionality is determined by dividing any non-zero value of one of the variables by the corresponding value of the other variable.
Divide an entry for one variable in the table by the corresponding entry for the other variable.
There are three ways: a table, a graph, and an equation.
Graph and Table: http://i50.tinypic.com/szhr4k.png
A table, a graph, and an equation.
Which of the following is a disadvantage to using equations?
equation, table or a graph
Divide any number in the second set by the corresponding number in the first set.
When acceleration is constant, one equation of kinematics is: (final velocity)^2 = 2(acceleration)(displacement) + (initial velocity)^2. When you are graphing this equation with displacement or position of the x-axis and (final velocity)^2 on the y-axis, the equation becomes: y = 2(acceleration)x + (initial velocity)^2. Since acceleration is constant, and there is only one initial velocity (so initial velocity is also constant), the equation becomes: y = constant*x + constant. This looks strangely like the equation of a line: y = mx + b. Therefore, the slope of a velocity squared - distance graph is constant, or there is a straight line. Now, when you graph a velocity - distance graph, the y axis is only velocity, not velocity squared. So if: v^2 = mx + b. Then: v = sqrt(mx + b). Or: y = sqrt(mx + b). This equation is not a straight line. For example, pretend m = 1 and b = 0. So the equation simplifies to: y = sqrt(x). Now, make a table of values and graph: x | y 1 | 1 4 | 2 9 | 3 etc. When you plot these points, the result is clearly NOT a straight line. Hope this helps!
from a table to a graph just graph x and y (on a coordinate plane) from table to equation find the slope of the line and the y intercept. your equation should be in the form y=mx+b where m is the slope and b is the y intercept
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.