Constants of Variation Problems

The video tutorial covers various types of variations in mathematics, including direct, inverse, joint, and combined variations. It explains how to find the constant of variation and solve for the variable y using given values for x and z. The tutorial provides step-by-step examples for each type of variation, demonstrating how to substitute values and solve equations to find the desired results.

In direct variation, if y = 24 when x = 6, what is the constant of variation?

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If y varies directly as x and y = 60 when x = 15, what is the constant of variation?

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In direct variation with the square of x, if y = 8 when x = 4, what is the constant of variation?

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If y varies directly as the square of x and y = 50 when x = 10, what is the constant of variation?

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In inverse variation, if y = 1/3 when x = 18, what is the constant of variation?

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If y varies inversely as x and y = 3 when x = 2, what is the constant of variation?

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In joint variation, if y = 45 when x = 18 and z = 10, what is the constant of variation?

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If y varies jointly as x and z, and y = 150 when x = 20 and z = 30, what is the constant of variation?

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In combined variation, if y = 4 when x = 6 and z = 3, what is the constant of variation?

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If y varies directly as x and inversely as z, and y = 3 when x = 15 and z = 10, what is the constant of variation?

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