Question

The relationship between X and Y is proportional. When X is 3, Y is 51. What is X when Y is 204?

Answer 1

Determine the constant of proportionality:  Start with the generic form y = kx (for direct proportion).  Insert the given info to find the value of k:

51 = k(3), so that k = 17.  Then the rule here is y = 17x.

Now, if y is 204, 204 = 17x, and x = 204/17 = 12

Summary:  When y = 204, x = 12.

Answer 2

The value of X when Y is 204 is 12

Let the relationship between X and Y be a direct proportion

If Y and X is directly proportional then;

$y = kX$

k is the constant of proportionality

If X = 3 and Y = 51

$51 = 3k\\k = \frac{51}{3}\\k=17$

In order to get the value of X if Y is 204, Recall;

$Y = kX\\204 = 17X\\X = \frac{204}{17}\\X= 12$

Hence the value of X when Y is 204 is 12

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