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Two variables, X and Y, are said to be in inverse variation with one another if X*Y is a constant - known as the constant of variation.
Typical example: average speed and time taken (for a journey of fixed distance). You double the speed, you halve the time required. You treble the speed the time drops to a third, etc.
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What is the inverse variation?
The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.
How do you do a direct variation with an inverse variation problem?
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?
The equation is xy = 22.5
What does the graph of an inverse variation look like?
A hyperbola.
What is inverse variation?
Two variables, x and y are in inverse variation if x*y = c for some constant c. The equation can be written in the form y = c/x.
What is the inverse variation?
The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.
How do you do a direct variation with an inverse variation problem?
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?
The equation is xy = 22.5
Does the graph of an inverse variation pass through the origin?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
What is the difference direct variation and inverse variation?
Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .
Is y equals 24 divided by x a direct variation?
No, this is an inverse variation.
What is inverse variation in algebra?
x=yr
What does inverse variation mean?
Two variables X and Y are in inverse variation if X*Y = c for some non-zero constant c.
What is an example of inverse variation?
for variables x and y and constanat k -
What is the inverse variation equation?
Two variables, X and Y are said to be in inverse variation if XY = k or Y = k/X for some constant k.
Does inverse and indirect variation mean the same thing?
Y=k/x where k is the constant of proportionality is an example of indirect or inverse variation. They are the same thing.
What does the graph of an inverse variation look like?
A hyperbola.
