(y) varies jointly as (x) and (z). (y=24) when (x=2, z=3). [ 24 = k \cdot 2 \cdot 3 ] [ 24 = 6k ] [ k = 4 ] Step 3: Rewrite the Equation with (k) Now that you know (k=4), rewrite the equation: (y = 4xz). Step 4: Solve for the Unknown Use the second set of conditions (e.g., "Find (y) when (x=5, z=10)"). [ y = 4 \cdot 5 \cdot 10 ] [ y = 200 ]
[ y = \frackxz ] or [ y = \frack \cdot (product\ of\ direct\ variables)product\ of\ inverse\ variables ] joint and combined variation worksheet kuta
[ y = kxz ]
"varies directly as (x) and inversely as (z)". (y) varies jointly as (x) and (z)
The weight (W) of a cylindrical metal rod varies jointly as its length (L) and the square of its diameter (d). A rod that is 8 cm long with a diameter of 2 cm weighs 240 grams. What is the weight of a rod that is 12 cm long with a diameter of 3 cm? Step 4: Solve for the Unknown Use the