Find the constant of variation for the relation and use it to write an equation for the statement.

y is a joint variation of x and z and varies inversely with w. when x = 3, z = 4, and w = 6, y is equal to 8.

 The required constant of variation is 4 and the equation is

Step-by-step explanation:  We are given to find the constant of variation for the following relation and to write an equation for the statement :

y is a joint variation of x and z and varies inversely with w. When x = 3, z = 4, and w = 6, y is equal to 8.

According to the given information, we can write

So, we get

Now, when x = 3, z = 4 and w = 6, then y = 8.

From equation (i), we get

Therefore, the constant of variation is 4 and the equation for the given statement is

Thus, the required constant of variation is 4 and the equation is

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

here is your mark brainliest