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How can you find the unit rate of constant of proportionality for a relationship represented in a graph?
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What does a direct proportion look like on a graph?
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
What type of a graph shows the relationship between two variables?
A line graph.
What is constant variation in math?
Constant variation is a relationship between two variables where one is a fixed multiple of the other. The graph of such a relationship is a straight line through the origin.
What is the difference between a constant in a graph and a constant in a experiment?
the difference between a constant in a graph and a constant in a experiment is that when on a graph, the constant is the thing that changes, and in a experiment it is the part that stays the same.
What graph graph indicates that there is a linear relationship between the dependent variable and the independent variable?
a graph of the independent variable and dependant that shows a graph with a fixed gradient (I.E a line graph) The equation of the graph will be given by y = mx +c where m is the gradient and c is a constant
How do you find constant in math?
The answer depends on what the constant is: the y-intercept in a linear graph, constant of proportionality, constant of integration, physical [universal] constant.
What relationship exist between two variables when their ratio is constant?
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
What is relationship among proportional relationships lines rates of change and slope?
The graph of a relationship in which two variables are in direct proportion is a straight line through the origin, whose slope = the rate of change = the constant of proportionality.
How can you identify a unit rate or constant of proportionality in a table In a graph In an equation?
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.
What are the characteristics of proportional relationships?
Direct proportions may be represented by a straight line through the origin, with the equation y = kx. The gradient of the line is the constant of proportionality and is a measure of the change in the "dependent" variable for a unit change in the "independent" variable. In the case of an inverse proportionality, the graph is a hyperbola with the equation y = k/x. The constant of proportionality, k, is a measure of the change in the reciprocal of the "dependent" variable for a unit change in the "independent" variable.
How can you use a graph to show the relationship between two quantitles that vary directly?
A scatter plot will show the data points on a straight line through the origin, whose slope is the constant of proportionality.
What does a direct proportion look like on a graph?
A straight line, through the origin, sloping up from left to right. The gradient of the graph will be the constant of proportionality.
How is speed and acceleration represented on a graph?
On a speed versus time graph, acceleration is represented by the line on the graph. If acceleration is constant, the line cuts through equally between the axis and starts from the zero point.
When the ratio of two variables is constant their relationship can be described as what?
dependent
How is deceleration represented on a velocity per time graph?
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.
When y varies directly as x what is true of the variables x and y?
y = cx where c is some non-zero constant of proportionality. Equivalently, x = ky where k (= 1/c) is a constant of proportionality. The graph of y against x is a straight line through the origin, with slope c.
What type of a graph shows the relationship between two variables?
A line graph.
