1 Answer

Codar · Answer 1 · 2021-05-31T14:32:14+0000

Given that y is directly proportional to x.

$\sf y \propto x$

$\longrightarrow \sf y = k * x$

$\\$

At first, we must find the value of k.

We have a relation given between 'x' and 'y' (that is, when 'x' is 75, 'y' is 60). We can call that Case - 1.

$\sf 60 = k * 75$

$\longrightarrow \sf k = (60)/(75)$

$\longrightarrow \sf k = (4)/(5)$

$\\$

Now, we have to find 'x' when 'y' is 480. We can call that Case - 2.

$\sf y = k * x$

We are having the value of 'y' and 'k'.

$\longrightarrow \sf 480 = (4)/(5) * x$

$\longrightarrow \sf x = 480 * (5)/(4)$

$\longrightarrow \sf x = 120 * 5$

$\leadsto \underline{\boxed{\sf {\pink{x = 600}}}}$

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