Here are the essential concepts you must grasp in order to answer the question correctly.
Joint Variation
Joint variation occurs when a variable depends on two or more other variables directly. In this case, y varies jointly as a and b, meaning that if either a or b increases, y will also increase, assuming the other variables remain constant. The relationship can be expressed as y = k * a * b, where k is a constant.
Inverse Variation
Inverse variation describes a situation where one variable increases as another decreases. Here, y varies inversely as the square root of c, indicating that as c increases, y decreases. This relationship can be expressed as y = k / √c, where k is a constant that must be determined based on given values.
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Four-Step Problem Solving Procedure
The four-step procedure for solving variation problems involves: 1) Identifying the relationship between the variables, 2) Writing the equation that represents this relationship, 3) Substituting known values to find the constant of variation, and 4) Using the constant to solve for the unknown variable in a new scenario. This systematic approach ensures clarity and accuracy in solving variation problems.
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