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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.
Shows quantities and how they vary by other factors?
Bar graph
How do you scaling quantities?
To scale quantities proportionally, you simply multiply or divide the quantity by the scaling factor. For example, if you want to double a quantity, you would multiply it by 2. If you want to scale a quantity by a different factor, you would use that factor in the multiplication or division process accordingly.
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 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
In algebra what is a letter or symbol used t represent a number of quantities that vary?
It is called a variable.
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.
What are vetor quantities?
Vector quantities are physical quantities that have both magnitude and direction. This means that in addition to knowing the amount of the quantity (magnitude), you also need to know the direction in which it acts. Examples of vector quantities include displacement, velocity, and force.
What are the units of vector and scalar quantities?
Vector quantities have both magnitude and direction, so they are expressed in units such as meters per second (velocity) or newtons (force). Scalar quantities only have magnitude and are represented by units such as meters (distance) or kilograms (mass).
