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What is an inverse proportion?
Two variables are said to be in inverse proportion if their product is a constant.So, if X and Y are in inverse proportion, thenXY = k or Y = k/X for some constant k.If you double X then Y is halved. If you decrease X by a factor of 3 then Y is trebled.A common example is Speed and Time for covering a fixed Distance.
What are the characteristics of inverse proportionality relationship?
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
Is it always true for an inverse relation that the product of the two inversely related variables is constant?
It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.
When the product of two variables is a constant?
The Control Variable
Definition of indirect proportion?
Indirect proportion is more famously known as Inverse Proportion. Inverse proportion is the exact opposite of Direct Proportion. Inverse Proportion -As one quantity increases other quantity decreases. An example problem: If 4 painters can paint a house in 6 days then how many days can 8 painters paint a house of the same size? To solve, use cross product 4 painters=6 days 8 painters=x 4x6=24 24/8=3 To paint the same house,8 painters need 3 days.
What is the relationship between two variable if the product of the variables is constant?
inversely proportional or inverse proportion
What is the constant of portionality?
If two variables are directly proportional to one another then the constant of proportionality is the ratio of their values. If they are in inverse proportion then the constant of proportionality is the product of their values.
What is an inverse proportion?
Two variables are said to be in inverse proportion if their product is a constant.So, if X and Y are in inverse proportion, thenXY = k or Y = k/X for some constant k.If you double X then Y is halved. If you decrease X by a factor of 3 then Y is trebled.A common example is Speed and Time for covering a fixed Distance.
When the product of two variables is constant the variables are proportional to each other?
Yes. They are inversely proportional. The proportion y ∝ 1/x, means xy=K, where K is the constant.
What are the characteristics of inverse proportionality relationship?
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
Is it always true for an inverse relation that the product of the two inversely related variables is constant?
It can't always be true. What if an inverse relationship crosses the origin, or one of the axes? In that case, at least one of the values (and therefore the product) will be zero.
A term used to describe the relationship between two variables whose product is constant?
The relationship between two variables whose ration is a constant value is a directly proportional relationship. An example of this is the ideal gas law, PV = nRT. Pressure and volume are directly proportional to the number of molecules of an ideal gas present ad the temperature.
What is the relationship between two variables if the product of the variables is constant?
Inversely proportional.
When the product of two variables is a constant?
The Control Variable
If values for x and y vary as an inverse proportion?
If values for x and y vary inversely, this means that as one value increases, the other value decreases and vice versa. This relationship can be represented by the equation xy = k, where k is a constant. This means that the product of x and y remains constant throughout the changes in their values.
Is a constant a number variable or the product of a number and one or more variables?
A constant is not a variable at all, and none of its factors was a variable. It is constant.
Definition of indirect proportion?
Indirect proportion is more famously known as Inverse Proportion. Inverse proportion is the exact opposite of Direct Proportion. Inverse Proportion -As one quantity increases other quantity decreases. An example problem: If 4 painters can paint a house in 6 days then how many days can 8 painters paint a house of the same size? To solve, use cross product 4 painters=6 days 8 painters=x 4x6=24 24/8=3 To paint the same house,8 painters need 3 days.
