Question : Given that $x$ varies directly as $y$ and $x=45$ when $y=9$. What is the value of $x$ when $y=50$?
Option 1: 225
Option 2: 190
Option 3: 175
Option 4: 250
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Correct Answer: 250
Solution :
Since $x$ varies directly as $y$.
Such that $x = ky$, where $k$ is the constant of variation.
Given that $x = 45$ when $y = 9$,
$45 = k × 9$
$k = \frac{45}{9} = 5$
The value of $x$ when $y = 50$,
$x = k × y = 5 × 50 = 250$
Hence, the correct answer is $250$.
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