If x varies inversely with y and x = 8 when y = 10, how do you find y when x = 6?

Jaydan Ball

Jaydan Ball

Open question

2022-09-02

If x varies inversely with y and x = 8 when y = 10, how do you find y when x = 6?

Answer & Explanation

Coraducci0d

Coraducci0d

Beginner2022-09-03Added 8 answers

This is an example of inverse proportion, or inverse variation.
To change a proportion into an equation, multiply by a constant and then use the values given to find the value of the constant.
y 1 x
y = k x k = x y
k = 8 × 10 = 80
So, y = 80 x
When x = 6 , y = 80 6
y = 40 3 or 13 1 3

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