Suppose that y varies directly with x and inversely with z and y = 28 when x = 32 and z = 8. write the quation that models the relationship. then find when x = 12 and z = 3

Given that y varies directly with x and inversely with z, then:

a] Equation that models the relationship

y=kx/z

where k is the constant of proportionality, given by:

k=yz/x

k = (28*8) / 32

k=7

The equation that models the relationship is:

y=7x/z

b]

find y when x = 12 and z = 3

The value of y will be given:

y = (7 * 12) / 3

y=28