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If x varies inversely as y and x = 24 when y =4, what is x when y is 8?

Answer 1

Genesis Allen

here, #x prop 1/y#

#rArr x=k/y ......... (i)#

putting x = 24 and y = 4 in equation (i) we get

#rArr 24 = k/4#

#rArr k= 96#

Again, putting value of k = 96 and y = 8 in equation (i)

#rArr x = 96/8 = 12#

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Answer 2

Savannah Anderson

If ( x ) varies inversely as ( y ), it means that their product remains constant. This can be expressed as ( xy = k ), where ( k ) is the constant of variation.

Given that ( x = 24 ) when ( y = 4 ), we can find ( k ) as follows:

[ xy = k ] [ 24 \times 4 = k ] [ k = 96 ]

Now, we can use ( k ) to find ( x ) when ( y = 8 ):

[ xy = k ] [ x \times 8 = 96 ] [ x = \frac{96}{8} ] [ x = 12 ]

So, when ( y = 8 ), ( x = 12 ).

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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.