Understanding Proportionality

What does it mean when two quantities are directly proportional?

• One quantity is unrelated to the other.

• One quantity is a constant multiple of the other.

• One quantity is the square of the other.

• One quantity is the inverse of the other.

If you work twice as many hours, how does your pay change in a directly proportional relationship?

• It stays the same.

• It doubles.

• It halves.

• It triples.

In an inversely proportional relationship, what happens to the time taken if the number of workers doubles?

• The time stays the same.

• The time halves.

• The time triples.

• The time doubles.

How do you express an inversely proportional relationship in an equation?

• y = k/x

• y = kx^3

• y = kx^2

• y = kx

What is the first step in solving a proportionality problem?

• Guess the constant.

• Convert the proportionality into an equation.

• Multiply both sides by a constant.

• Divide both sides by a constant.

When given a proportional relationship, what symbol is used to replace the proportional sign?

• An equal sign with a constant.

• A division sign.

• An addition sign.

• A subtraction sign.

If y is proportional to x squared, how would you express this relationship?

• y = kx

• y = k/x

• y = kx^2

• y = kx^3

What happens to the constant when converting a proportional relationship to an equation?

• It is multiplied by the other variable.

• It is added to the equation.

• It is ignored.

• It is divided by the other variable.

In a proportional relationship involving squares, what must be done to the variable?

• Square the variable.

• Cube the variable.

• Take the square root of the variable.

• Take the cube root of the variable.

What is the role of the constant 'k' in a proportional equation?

• It is the x-intercept.

• It is a scaling factor.

• It determines the slope of the line.

• It is the y-intercept.