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12345 [234]
3 years ago
8

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Given y ∝ \frac{1}{x} then the equation relating them is

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

To find k use the condition y = - 2 when x = 14 , then

- 2 = \frac{k}{14} ( multiply both sides by 14 )

- 28 = k

y = - \frac{28}{x} ← equation of variation

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