q23 (answer 4)

Given 2x^2 = 3y^3

By how much will y increase if x is multiplied by 2?

1) 2^(1/3)

2) 4^(1/3)

3) 8

Attachment 22287

thanks in advance!

Printable View

- September 16th 2011, 08:33 AMjsvladkinda hard exponent problem
q23 (answer 4)

Given 2x^2 = 3y^3

By how much will y increase if x is multiplied by 2?

1) 2^(1/3)

2) 4^(1/3)

3) 8

Attachment 22287

thanks in advance! - September 16th 2011, 09:38 AMSironRe: kinda hard exponent problem
Reform the given equation to

Afterwards replace by .

Then you'll see is increased by a factor ... ? - September 16th 2011, 09:44 AMjsvladRe: kinda hard exponent problem
y= (2/3x^2)^(1/3)

2^2=4

4*2/3 = 8/3

8/3^(1/3)

isn't an answer option... grrr

that 3 keeps bugging me out! - September 16th 2011, 09:50 AMSironRe: kinda hard exponent problem
What I mean is the following:

(1)

Because the question asks how y increases if x is multiplied by two you have to replace x by 2x

(2)

So you recognize an equal part in (1) and (2), but (2) is multiplied by a factor ... ? - September 16th 2011, 12:39 PMjsvladRe: kinda hard exponent problem
I thought I read The problem wrong. That's why I included the image. Again I don't know the answer. I got the same reasoning solution as you

- September 16th 2011, 12:41 PMe^(i*pi)Re: kinda hard exponent problem
If you understand how Siron got that answer then use your laws of exponents to say that

Edit: The question is asking to find the difference in "scale" if you will. In other words it wants you to find where f(x) is the equation given.

From Siron's post the answer is eq2/eq1