# If y varies jointly as the cube of x, w, and the square of z, what is the effect on w when x, y, and z are doubled?

##### 1 Answer

Jun 1, 2017

#### Answer:

That is,

#### Explanation:

Based on this description, we can create the following equation:

#y = kx^3wz^2#

Where

The problem asks what happens to

#y = kx^3wz^2#

#y/(kx^3z^2)=w#

Now, the problem asks us to double everything except

#((2y))/(k(2x)^3(2z)^2)=w_"new"#

#(2y)/(k(8x^3)(4z^2))=w_"new"#

#2/(8*4)(y/(kx^3z^2))=w_"new"#

#1/16(y/(kx^3z^2))=w_"new"#

#1/16w = w_"new"#

So

*Final Answer*