Write the function that models the relationship. z varies directly with x and inversely with y, and z = 10 when x = 5, y = 2

z =

Step-by-step explanation:

Given z varies directly with x and inversely with y then the equation relating them is

z = k × ← k is the constant of variation

To find k use the condition z = 10 when x = 5 and y = 2, then

10 = k × ( multiply both sides by 2 to clear the fraction

20 = 5k ( divide both sides by 5 )

4 = k

z = ← equation of variation