Question

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.

Answer 1

Equation is
`x=(1)/(2)yz` and when y=2 and z=4, x will be 4.

Explanation:

Given:

x varies jointly with y and z.

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

`x=2, y =4,z=1`

From above values we can compute the equation as.

`x=(1)/(2)yz\\2= (1)/(2) * 4 * 1\\2=2`

Hence the Equation is
`x=(1)/(2)yz`

Now y=2 and z=4 we get.

`x=(1)/(2)* 2 * 4= 4`

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