3.2 Proportion

• What does the term "proportion" refer to in mathematics?

  Relationship between quantities
• In inverse proportion, when one quantity is doubled, the other is halved
• What is the relationship between two quantities in inverse proportion?

  One increases, the other decreases
• If two quantities x and y are in direct proportion, the equation is x / y = k
• Cross-multiplication is a method used to solve proportion equations.


  True
• Inverse proportion means two quantities change in opposite ratios.


  True
• What is the definition of direct proportion?

  Quantities increase in same ratio
• The phrase "is inversely proportional to" indicates an inverse proportion relationship.

  True
• In the direct proportion equation, k represents the constant of proportionality
• Steps to solve proportion problems using cross-multiplication

  1️⃣ Identify the type of proportion

  2️⃣ Set up the proportion equation

  3️⃣ Cross-multiply the equation

  4️⃣ Solve for the unknown value
• What do you cross-multiply for direct proportion?

  a * y = x * b
• What are the two main types of proportion?

  Direct and inverse
• What is the mathematical relationship called where one quantity changes in direct relation to another?

  Proportion
• What happens to the total cost when you buy more apples in a direct proportion scenario?

  Increases
• What is the definition of direct proportion?

  Quantities increase in same ratio
• What happens to the completion time if you double the number of workers in an inverse proportion scenario?

  Halved
• The equation for direct proportion is x/y
• What technique is used to solve proportion equations efficiently?

  Cross-multiplication
• What is cross-multiplication used for in proportion problems?

  Solving for unknown values
• The equation for inverse proportion is a * b = x * y
• What is the result of cross-multiplying in an inverse proportion equation `a * b = x * y`?

  $a *$$b =$$x *$$y$
• What type of proportion is used in currency exchange problems?

  Direct proportion
• What is the process of converting between different currencies called?

  Currency exchange
• Cross-multiplication is used to solve proportion equations.


  True
• If 1 US dollar is equal to 0.85 British pounds, 25 US dollars is equal to 21.25 British pounds.

  True
• Direct proportion means that as one quantity increases, the other quantity also increases.


  True
• In inverse proportion, as one quantity increases, the other quantity decreases
• What is the definition of direct proportion?

  Quantities increase or decrease together
• What is the relationship between two quantities in direct proportion?

  Increase or decrease together
• Inverse proportion occurs when one quantity increases and the other decreases in the same ratio.


  True
• If two quantities x and y are in inverse proportion, the equation is x * y = k
• Direct proportion means two quantities change in the same ratio.

  True
• What is an example of a phrase that indicates inverse proportion?

  "is inversely proportional to"
• The phrase "is directly proportional to" indicates a direct proportion relationship.

  True
• If you double the number of workers on a job, the time taken is halved
• What is the equation for direct proportion?

  $x / y =$$k$
• In the inverse proportion equation, k is also the constant of proportionality.


  True
• For direct proportion, the equation is a / b = x / y
• For inverse proportion, the equation after cross-multiplication is a * b = x * y
• Understanding proportion is crucial for solving practical problems involving scaling, currency exchange, and resource distribution