Here are the essential concepts you must grasp in order to answer the question correctly.
Joint Variation
Joint variation occurs when a variable is directly proportional to the product of two or more other variables. In this case, if x varies jointly as y and z, it means that x can be expressed as a constant multiplied by both y and z. The general form of the equation is x = k * y * z, where k is the constant of variation.
Solving for a Variable
Solving for a variable involves rearranging an equation to isolate the desired variable on one side. In this context, after establishing the equation from the joint variation, we need to manipulate it algebraically to express y in terms of x and z. This often requires dividing both sides of the equation by the other variables.
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Constants of Variation
The constant of variation (k) is a specific value that relates the variables in a joint variation equation. It represents the proportionality factor that remains constant for given values of x, y, and z. Understanding how to determine or use this constant is crucial for accurately expressing and solving equations involving joint variation.
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