Inverse Variation Examples

Which of the following represents inverse variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b

State what type of variation the equation represents.

• Direct

• Inverse

• Joint

• None

Determine the type of variation.

• Direct

• Inverse

• None

Which are examples of inverse variation? Select all that apply.

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Solve for the unknown variable.

If y varies inversely as x and y = 12 when x = 3, what is the value of x when y = 4?

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no space)

a varies inversely as b

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no space)

z varies inversely with w

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no spacing)

Twice c varies inversely as p.

Solve for the unknown variable.

If y varies inversely as x and y = 45 when x = 2, what is the value of y when x = 25? (Fraction form, use / for fraction bar and no spacing)

Solve for the unknown variable. If r varies inversely as g and r = 106 when g = 78, what is the value of g when r = 26?