Question 41964
Hello!
If y varies directly as x, then when x is multiplied by a factor, y is multiplied by the same factor.

Now, how many times is the increase in x from 1/2 to 2? This is calculated as:

{{{2/(1/2) = 2*2 = 4}}}

Therefore, 2 is 4 times as much as 1/2.

We conclude that, since y = 4 when x = 1/2; then, when x = 2 (4 times as much as 1/2), then y must be 4 times as much as its original value (4). Therefore, when x = 2, y = 4*4 = 16.


I hope this helps!
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