If y varies inversely as x, and y=14 when x=7, how do you find y when x=10?

Answer 1

To find y when x=10, we can use the inverse variation formula: y = k/x.

First, we need to find the constant of variation, k. We can do this by substituting the given values into the formula.

When y=14 and x=7, we have: 14 = k/7.

To solve for k, we can multiply both sides of the equation by 7: 14 * 7 = k.

Simplifying, we get: k = 98.

Now that we have the value of k, we can substitute it back into the inverse variation formula and solve for y when x=10.

Plugging in x=10 and k=98, we have: y = 98/10.

Simplifying, we find that y = 9.8.

Therefore, when x=10, y is equal to 9.8.

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Answer 2

#98/10 = 9.8#

#y propto 1/x => y = C * 1/x = f(x)#
#14 = C* 1/7 => C = 14 * 7 = 98#
#f(10) = C * 1/10#
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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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