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alexira [117]
3 years ago
11

If y varies inversely as x and y = 27 when x = 12 , find x when y = - 9 .

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

x = - 36

Step-by-step explanation:

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

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y = \frac{324}{x} ← is the equation of variation

When y = - 9, then

- 9 = \frac{324}{x} ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36

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