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If x varies inversely as y, and x = 11 when y = 15, how do you find x when y = 3?

Answer 1

To find x when y = 3, we can use the inverse variation formula. Inverse variation states that when two variables are inversely proportional, their product remains constant.

First, we can set up the equation using the given values: x * y = k, where k is the constant of variation.

Plugging in the values x = 11 and y = 15, we have: 11 * 15 = k.

Solving for k, we find that k = 165.

Now, we can use this value of k to find x when y = 3: x * 3 = 165.

Dividing both sides by 3, we get: x = 55.

Therefore, when y = 3, x is equal to 55.

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Answer 2

Isaiah Anthony

#x=55#

If #x# varies inversely as #y#, then that means:

#y=k/x#

Let's multiply both sides of the equation by #x# to find #k#.

#k=xy#

Plugging the numbers in:

#k=(11)(15)=165#

Now, we go back to the original equation and solve for x:

#y=k/x#

#x=k/y#

Finally, plug #y=3# and #k=165#:

#x=165/3#

#x=55#

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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.