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1) The value of y is inversely proportional to z3 and directly proportional to 2when x = 6, y = 8, and z = 2.

 

(a) Express y as a function of x and z.

 

(b) Use your function to find x when y = 9 and z = 1.

 Mar 12, 2020
edited by Guest  Mar 13, 2020
 #1
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1)

 

(a)

y  =  k *  2x  / z^3

 

So

 

8  = k *  2(6) / 2^3

 

8 = k  *  12  / 8

 

8 = k * 3 / 2

 

(2/3)*8  =  k

 

16/3  = k

 

 

(b)

 

So  when   y = 9   and z  = 1    we  have that

 

9 = (16/3) * 2x  / 1^3

 

9 = (32/3)x

 

9  (3/32)  = x

 

27 /32  =  x

 

 

cool cool cool

 Mar 20, 2020

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