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Q: Is xy equals 4 an inverse variation?
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In inverse proportion x equals 2 and y equals 36 but what will y be when x equals 4?

Inverse proportion implies xy = c where c is the constant of [inverse] proportionality. x = 2 and y = 36 implies xy = 72 = c So the relationship is xy = 72 Then, if x = 4, y = 72/x = 72/4 = 18


Complete the equation of variation where y varies inversely as x and y equals 4 when x equals 2?

xy = 8 or y = 8/x


Is xy equals 4 a function?

yes. it is a function


What is xy-2 when x equals 5 and y equals 4?

18


Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?

If y varies with x, then there cannot be an inverse variation between x and y!


What is the inverse of y equals 4?

Let N= inverse of Y Given 1/Y=4 ---> Y=1/4 inverse of 1/4 ---> 1/(1/4)=4 N=inverse of Y=4


What is the variation constant for an inverse squared relationship where we know x-4 and y3?

9


What is a direct variation?

A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.


Is 4 plus 0 equals 4 an inverse property?

well it equals 4 any way you put


Is 2 plus 2 equals 4 the inverse operation of 4-2 equals 2?

yes


In the inverse variation function what happens to the output when the functions input value is multiplied by 4?

the output is divided by 4


What is the inverse of f of x equals 5x plus 4?

No, f(x) is not the inverse of f(x).