jennjoyclem jennjoyclem

01-07-2020
Mathematics

contestada

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine

A: 2/3

B: 16/3

C: 8/3

D: 24

Respuesta :

rococo908 rococo908

01-07-2020

Answer:

B

Step-by-step explanation:

Set up the equation

z = [tex]\frac{kx^2}{y}[/tex]

Plug in the numbers to find the value of k

3 = [tex]\frac{k(2^2)}{4}[/tex]

12 = 4k

3 = k

Solve to find the value of z

z = [tex]\frac{3(4^2)}{9}[/tex]

z = [tex]\frac{3(16)}{9}[/tex]

z = 48/9

z = 16/3

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