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If y varies directly with x, and If y = 2.5 when x = 0.5, how do you find y when x = 20?

Answer 1

Hazel Anglin

When # x=20; y=100#

#y prop x :. y = k*x or k =y/x = 2.5/0.5=5# (k is proportionality costant) When #x=20 ; y =5*20=100# [Ans]

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Answer 2

Ethan Adkins

To find y when x = 20 in a direct variation, you can use the direct variation equation, which is y = kx, where k is the constant of variation.

First, determine the value of k using the given information that when x = 0.5, y = 2.5.

Substitute these values into the equation: 2.5 = k * 0.5.

Solve for k: k = 2.5 / 0.5 = 5.

Now that you know the value of k, you can use it to find y when x = 20.

Substitute x = 20 and k = 5 into the direct variation equation: y = 5 * 20 = 100.

So, when x = 20, y = 100.

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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.