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If #y# varies directly with #x# and #y=25# when #x=2#, what is #y# when #x=.5#?

Answer 1

#y=6.25#

#y prop x :. y = k *x or k = y/x ; y=25 ; x=2 :. k= 25/2# Thus the variation equation is # y = 25/2*x ; x = 0.5 ; y= ? y= 25/2* 0.5 =6.25#

#y=6.25# [Ans]

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Answer 2

Isaiah Anthony

If y varies directly with x and y=25 when x=2, when x=0.5, y=6.25.

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Answer 3

Savannah Anderson

If y varies directly with x, then the relationship can be expressed as y = kx, where k is the constant of variation. To find the value of k, we can use the given values: y = 25 when x = 2.

Substituting these values into the equation: 25 = k * 2

Solving for k: k = 25 / 2 k = 12.5

Now that we have the value of k, we can use it to find y when x = 0.5: y = k * x y = 12.5 * 0.5 y = 6.25

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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.