If y varies inversely as x, and y = 18 when x = 2, how do you find y when x = 4?

IJzerboor07

IJzerboor07

Answered question

2022-09-02

If y varies inversely as x, and y = 18 when x = 2, how do you find y when x = 4?

Answer & Explanation

Mekhi Parker

Mekhi Parker

Beginner2022-09-03Added 18 answers

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 given condition
y = 18 when x = 2
y = k x k = y x = 18 × 2 = 36
equation is | 2 2 y = 36 x 2 2 | ̲ ¯
when x = 4 then
y = 36 4 = 9

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?