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aleksandr82 [10.1K]
3 years ago
15

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?

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

n = 30

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 180 when x = n, then

180 = kn ( divide both sides by n )

k = \frac{180}{n}

y = \frac{180}{n} x ← equation of variation

y = n when x = 5, thus

n = \frac{180}{n} × 5 = \frac{900}{n} ( multiply both sides by n )

n² = 900 ( take the square root of both sides )

n = \sqrt{900} = 30

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