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If x varies inversely as y and x=12 when y=3, what is the value of x when y=9?

Answer 1

If x varies inversely as y and x=12 when y=3, the value of x when y=9 can be found using the inverse variation formula. The formula states that when two variables, x and y, vary inversely, their product remains constant.

To find the value of x when y=9, we can set up the equation:

x * y = k

where k is the constant of variation.

Given that x=12 when y=3, we can substitute these values into the equation:

12 * 3 = k

Simplifying, we find that k = 36.

Now, we can use this value of k to find the value of x when y=9:

x * 9 = 36

Dividing both sides of the equation by 9, we get:

x = 4

Therefore, when y=9, the value of x is 4.

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Answer 2

Savannah Anderson

When #y=9 ; x=4#

#x prop 1/y or x =k*1/y or xy =k# (k is the constant of proportionality) #x=12# when #y=3 :.12*3=k or k=36#.Hence the variation equation is #xy=36# when #y=9 ; x =36/9=4#[Ans]

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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.