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Suppose x varies inversely with y. If X = 10 when y = 5 how do you find x when y = 14?

Answer 1

Ethan Adkins

To find x when y = 14, we can use the inverse variation formula: x1 * y1 = x2 * y2.

Given that x = 10 when y = 5, we can substitute these values into the formula: 10 * 5 = x2 * 14.

Simplifying the equation, we have: 50 = x2 * 14.

To find x2, we divide both sides of the equation by 14: x2 = 50 / 14.

Therefore, x is approximately equal to 3.57 when y = 14.

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Answer 2

Isaiah Anthony

Construct a variation equation and solve for #x# to get #x=25/7#.

When we say "#x# varies inversely with #y#", we mean that when #x# increases, #y# decreases, and vice versa. Mathematically, this is expressed as: #y=k/x# Where #k# is referred to as the constant of variation.

We are told #x=10# when #y=5#, so: #5=k/10# #->10*5=k->50=k#

Our equation is: #y=50/x#

If #y=14#, then #14=50/x# #->x=50/14=25/7#

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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.