Joint And Combined Variation Worksheet Kuta ›

Before you open a Kuta worksheet, you need to understand the language of variation.

The Formula: [ y = kxz ] Where ( k ) is the constant of variation. You read this as: "y varies jointly as x and z."

Real-world example: The area of a triangle ((A)) varies jointly with its base ((b)) and height ((h)). ( A = \frac12 bh ). Here, ( k = \frac12 ). joint and combined variation worksheet kuta

To solve joint and combined variation problems, follow these steps:

Let’s walk through a problem you would find on a joint and combined variation worksheet kuta. Before you open a Kuta worksheet, you need

Problem Type 1 (Joint): "If y varies jointly as x and z, and y = 24 when x = 4 and z = 2, find y when x = 10 and z = 5."

Solution:

Problem Type 2 (Combined): "If y varies directly as x and inversely as z, and y = 10 when x = 5 and z = 2, find y when x = 20 and z = 4."

Solution: