If y varies inversely as x and y = -3 when x = 6, how do you find x when y is 36?

sdentatoiz

sdentatoiz

Answered question

2022-09-01

If y varies inversely as x and y = -3 when x = 6, how do you find x when y is 36?

Answer & Explanation

Aleah Harrell

Aleah Harrell

Beginner2022-09-02Added 18 answers

Inverse means 1 variable
the initial statement is y 1 x
to convert to an equation multiply by k, the constant of variation
y = k × 1 x = k x
to find k, use the conditions given
y=−3 when x=6
y = k x k = x y = 6 × - 3 = - 18
the equation is y = - 18 x
to find x when y = 36
y = - 18 x x = - 18 y
x = - 18 36 = - 1 2

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