If y varies directly as x and inversely as the square of z and if y=20 when x=50 and z=5 how do you find y when x=3 and z=6?

Cyrus Munoz

Cyrus Munoz

Open question

2022-08-30

If y varies directly as x and inversely as the square of z and if y=20 when x=50 and z=5 how do you find y when x=3 and z=6?

Answer & Explanation

Desirae Arias

Desirae Arias

Beginner2022-08-31Added 5 answers

the initial statement is y x z 2
to convert to an equation multiply by k the constant of variation
y = k × x z 2 = k x z 2
to find k use the given condition
y = 20 when x = 50 and z = 5
y = k x z 2 k = y z 2 x = 20 × 25 50 = 10
equation is | 2 2 y = 10 x z 2 2 2 | ̲ ¯
when x = 3 and z = 6 then
y = 10 × 3 36 = 30 36 = 5 6

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?