To find the value of $ k $ when $ y $ is directly proportional to $ x $, we start with the given relationship:

$$ y = kx $$

We are given that when $ x = 12 $, $ y = 360 $. We can substitute these values into the equation to solve for $ k $:

$$ 360 = k \cdot 12 $$

Next, we solve for $ k $ by dividing both sides of the equation by 12:

$$ k = \frac{360}{12} $$

$$ k = 30 $$

So, the value of $ k $ is 30.

Question

To find the value of $ k $ when $ y $ is directly proportional to $ x $, we start with the given relationship:

$$ y = kx $$

We are given that when $ x = 12 $, $ y = 360 $. We can substitute these values into the equation to solve for $ k $:

$$ 360 = k \cdot 12 $$

Next, we solve for $ k $ by dividing both sides of the equation by 12:

$$ k = \frac{360}{12} $$

$$ k = 30 $$

So, the value of $ k $ is 30.

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