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If, a unit increase in one is accompanied by the same positive increase in the other (whatever the starting value), and when one is zero the other is also zero.
In algebraic terms, if x and y are the two variables, and their relationship is given by
y = f(x)
then the first condition states that dy/dx is a positive constant, say m. Equivalently, the relationship is the linear function,
y = mx + c.
The second condition then states that the intercept term, c, is zero.
Thus the relationship reduces to y = mx.
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How do you know when quantities vary proportionally?
They vary proportionally if (and only if) the graph of one variable against the other is a straight line through the origin.
What is a letter or symbol used t represent a number of quantities that vary in algebra?
a variable
How do you represent a constant and variable?
Variable: A letter or symbol used to represent a number or quantities that vary
What proportions mean?
Two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
What is a proportional ratio?
In mathematics, two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
How do you know when quantities vary proportionally?
They vary proportionally if (and only if) the graph of one variable against the other is a straight line through the origin.
Why can there only be one variable in an experiment?
If you vary only one quantity in an experiment, then the results will be related to that quantity. If you vary two or more quantities, then the results will be ambiguous; you will not know what variation is responsible for the observed result.
Shows quantities and how they vary by other factors?
Bar graph
Which graph shows quantities and how they vary by other factors?
A bar graph.
A sentence with proportional?
Two quantities are said to be proportional if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio.
What are the units of vector and scalar quantities?
The units will vary, depending on what you want to measure.
What is a letter or symbol used t represent a number of quantities that vary in algebra?
a variable
What proportions mean?
Two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.
How do you represent a constant and variable?
Variable: A letter or symbol used to represent a number or quantities that vary
What two quantities are neccesarz to determine a vector quantities?
It is necessary to know the magnitude and the direction of the vector.
What does vary inversely mean?
As one measure increases the other measure decreases proportionally. An example would be temperature vs clothing. The hotter it gets, the less people wear.
In algebra what is a letter or symbol used t represent a number of quantities that vary?
It is called a variable.
