Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z. x = 3, y = 8, and z = 54

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

= k = 2.25

z = 2.25xy ← equation of variation