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GCSEMathsEdexcelHigherFlashcards3. Ratio, Proportion & Rates of ChangeDirect & Inverse Proportion

Direct & Inverse Proportion (Edexcel GCSE Maths)

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  • FrontDirect Proportion

    What is direct proportion?

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Cards in this collection (13)

  • What is direct proportion?

    Direct proportion means that as one variable goes up the other goes up by the same factor.

  • True or False?

    If x and y are directly proportional, then bold italic x bold colon bold italic y will always be the same.

    True.

    If x and y are directly proportional, then bold italic x bold colon bold italic y will always be the same.

  • What is k used to represent when working with direct proportion?

    When working with direct proportion, k is used to represent the constant of proportionality that connects x and y.

    y equals k x when x and y are directly proportional.

  • What does it mean for y to be directly proportional to the square of x?

    If y is directly proportional to the square of x, it means that y equals k x squared.

  • True or False?

    The graph of two directly proportional variables is a straight line.

    True.

    The graph of two directly proportional variables is a straight line.

    A graph with labelled x and y axes and a red line running diagonally from the bottom left to the top right, intersecting the y-axis at (0,0).

  • True or false?

    When solving a direct proportion problem, one of the first things you should do is find the value of the constant of proportionality k.

    True.

    When solving a direct proportion problem, one of the first things you should do is find the value of the constant of proportionality k.

  • What is inverse proportion?

    Inverse proportion means as one variable goes up the other goes down by the same factor.

  • What is k used to represent when working with inverse proportion?

    When working with inverse proportion, k is used to represent the constant of proportionality that connects x and y.

    y equals k over x when x and y are inversely proportional.

  • True or False?

    If x is inversely proportional to y, then bold italic x bold colon bold italic y will always be the same.

    False.

    If x is inversely proportional to y, then bold italic x bold colon bold 1 over bold italic y will always be the same.

  • How would you describe the relationship between Aand B if A equals k over B?

    If A equals k over B, it means that A is inversely proportional to B.

  • What is the equation for A in terms of B if A is inversely proportional to the square of B?

    If A is inversely proportional to the square of B, then A equals k over B squared.

  • True or False?

    The graph of two inversely proportional variables is a straight line.

    False.

    The graph of two inversely proportional variables is a not a straight line.

    Graph of y = k/x with asymptotes along the x and y axes.

  • What is the formula for y in terms of x if y is inversely proportional to the cube root of x?

    If y is inversely proportional to the cube root of x, then y equals fraction numerator k over denominator cube root of x end fraction.

    Using laws of indices that can also be written as y equals k over x to the power of 1 third end exponent or y equals k x to the power of negative 1 third end exponent.

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