The variable x varies jointly with y and z. Use x=2, y=4, z=1 to write an equation relating x, y
& z. Then find the value of x when y = 2 and z = 4.

Respuesta :

Answer:

Equation is [tex]x=\frac{1}{2}yz[/tex] and when y=2 and z=4, x will be 4.

Step-by-step explanation:

Given:

x varies jointly with y and z.

It also means x is directly proportional to y and z.

[tex]x=2, y =4,z=1[/tex]

From above values we can compute the equation as.

[tex]x=\frac{1}{2}yz\\2= \frac{1}{2} \times 4 \times 1\\2=2[/tex]

Hence the Equation is [tex]x=\frac{1}{2}yz[/tex]

Now y=2 and z=4 we get.

[tex]x=\frac{1}{2}\times 2 \times 4= 4[/tex]

Hence when y=2 and z=4, x will be 4.