Y is inversely proportional to the square of x when y =50, x=2, how do you find an equation connecting y and x?

Answer 1

#2x^2y=25#
#color(white)("XXXX")#(or some variation of that)

If #y# is inversely proportional to the square of #x#, then #color(white)("XXXX")##y = c/(x^2)##color(white)("XXXX")#for some constant #c#
We are told that when #y=50# then #x=2#
So the proportional equation becomes #color(white)("XXXX")##50 = c/(2^2)#
#color(white)("XXXX")##rarr c = 25/2#
So #color(white)("XXXX")##y =(25/2)/x^2# which could also be written as #color(white)("XXXX")##x^2y = 25/2# or #color(white)("XXXX")##2x^2y = 25#
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Answer 2

The equation connecting y and x when y is inversely proportional to the square of x is y = k/x^2, where k is a constant. To find the value of k, we can substitute the given values of y and x into the equation and solve for k.

When y = 50 and x = 2, we have 50 = k/2^2. Simplifying this equation, we get 50 = k/4. Multiplying both sides by 4, we have 200 = k.

Therefore, the equation connecting y and x is y = 200/x^2.

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Answer 3

When ( y ) is inversely proportional to the square of ( x ), the relationship can be represented as ( y = \frac{k}{x^2} ), where ( k ) is the constant of proportionality.

Given that ( y = 50 ) when ( x = 2 ), we can substitute these values into the equation and solve for ( k ):

[ 50 = \frac{k}{2^2} ]

[ 50 = \frac{k}{4} ]

[ k = 50 \times 4 = 200 ]

Therefore, the equation connecting ( y ) and ( x ) is ( y = \frac{200}{x^2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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