If y varies inversely as x and y=3 when x=8 what is x when y=4

Question

Mathematics

Elliot Arias

24 July, 02:16

If y varies inversely as x and y=3 when x=8 what is x when y=4

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Answers (1)

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Emery Oconnor · Answer 1

x = 6

Step-by-step explanation:

y varies inversely as x

y = k * 1/x. {where k is a constant}

when y = 3, x = 8

Therefore 3 = k/8 and k is 24

y = 24/x

When y = 4,

4 = 24/x

4x = 24

(dividing both sides by 4)

x = 6