i need help figuring out this problem

Tutors, sign in to answer this question.

When a variable y inversely varies with another x, it means that when y is doubled x is halved, when y is tripled x reduces to a third of original value. This is shown below:

Suppose x is 4 when y is 2, then x is halved 2 when y doubled to 4. When x is reduced to 1 (1/4th of the original value) then y is multiplied 4 times the original value to 2*4 = 8

In other words, x*y remains constant, which in the above example is 4*2.

With the background above, we can answer the question

It is given in the question that y is 6 when x is 3.

Since y varies inversely with x, we know that x*y is constant which in this case is 6*3 = 18

When x changes to 2 y = 18/x =9 (since we know x*y = 18)

Ngan T. | Organic Chemistry is my specialtyOrganic Chemistry is my specialty

Since y varies inversely with x, we have:

y = a/x

y = 6 and x = 3

6 = a/3

6*3 = 3*a/3

18 = a

y = 18/x

When x = 2

y = 18/2 = 9

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Alexis G.

All-Subject/Test Prep Tutor, Specializing in Language Instruction

$11.25 per 15 min

View Profile >

Kyoko I.

Native Japanese Speaker, Fluent in English, Customized Japanese Lesson

$11.25 per 15 min

View Profile >

Eric T.

Mathematics is the language of the universe

$11.25 per 15 min

View Profile >