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If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? 6 18 30 36

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Answer:

Explanation:

If y varies directly as x, it means that the ratio of y to x remains constant. We can express this relationship using the equation:

y = kx

where k is the constant of variation.

Given that y is 180 when x is n, we can write:

180 = kn

Similarly, when y is n, x is 5:

n = k(5)

To find the value of n, we can equate the two expressions for k:

kn = k(5)

Dividing both sides by k (assuming k ≠ 0):

n = 5

Therefore, the value of n is 5.

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