If y varies inversely as x, and y = 3 when x = 6, how do you find the value of x when y = 18?

iescabroussexg

iescabroussexg

Answered question

2022-09-02

If y varies inversely as x, and y = 3 when x = 6, how do you find the value of x when y = 18?

Answer & Explanation

enviroatz0z

enviroatz0z

Beginner2022-09-03Added 12 answers

the initial statement is y 1 x
to convert to an equation multiply by k the constant of variation
⇒y=k×1x⇒y=kx
to find k use the given condition
y = k x k = y x = 3 × 6 = 18
equation is | 2 2 y = 18 x 2 2 | ̲ ¯
when y=18 then
x = 18 y = 18 18 = 1

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