MATH 2ND

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Questions and Answers

What is the constant of variation of the equation, x = 29/y?

29

is a relationship where one variable is a constant multiple of another.

Direct variation

If y varies directly with x, what is the equation that represents this relationship?

y = kx

If y = 3x and x = 4, what is the value of y?

<p>12</p> Signup and view all the answers

y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

<p>-128</p> Signup and view all the answers

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

<p>32/5</p> Signup and view all the answers

z varies jointly with x and y. If x = 2, y = 3 and z = 4, find z when x = -6 and y = 2.

<p>-8</p> Signup and view all the answers

The equation for a Joint Variation is represented as:

<p>y = kxz</p> Signup and view all the answers

is when a quantity varies directly with one variable and inversely with another.

<p>Combined variation</p> Signup and view all the answers

If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

<p>5</p> Signup and view all the answers

Flashcards

Constant of Variation (x = 29/y)

The constant value (29) that relates 'x' and 'y' in a direct variation equation.

Direct Variation

A relationship where one variable is a constant multiple of another variable.

Equation for Direct Variation

y = kx, where 'k' is the constant of variation

y = 3x, x = 4

If 'x' is 4 and 'y' is three times 'x', then 'y' is 12.

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Inverse Variation

When one variable changes, the other variable changes in the opposite manner (multiplicative inverse).

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y inversely varies x, y=40,x=16, y=-5

When 'y' is -5, 'x' will be -128 in the inverse variation

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y = 32, x = 3, y=15,Find x

If 'y = 32' when 'x = 3' and 'y' changes to 15, then 'x' will be 64/5

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Joint Variation

A relationship where one variable varies directly with the product of two or more other variables.

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z varies jointly with x and y,Find z

When 'x = -6' and 'y = 2', 'z' will be -8 if 'x = 2' and 'y = 3' to get z = 4.

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Equation for Joint Variation

'y = kxz' Where 'k' is the constant of variation.

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