Ratios, Proportions, and Percent Change

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Questions and Answers

What does understanding the 'constant of proportionality' allow you to determine?

  • The rate of change in a non-linear relationship
  • If two ratios are equivalent
  • The initial value of a variable
  • If a relationship is proportional (correct)

A markdown is an example of a percent increase.

False (B)

In the context of proportional relationships, what does 'RATDS' stand for?

Ratios

A visual representation, such as a ______, can be used to identify proportional relationships.

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

Match the following terms with their corresponding descriptions:

<p>Markup = An increase from the cost price to the selling price. Markdown = A decrease from the original selling price, often for a sale. Percent Change = The extent to which something gains or loses value. Constant of Proportionality = The constant ratio between two proportional quantities.</p> Signup and view all the answers

Which of the following is NOT a characteristic of proportional relationships?

<p>Having a variable that changes at a decreasing rate (D)</p> Signup and view all the answers

An equation cannot be used to find the constant of proportionality.

<p>False (B)</p> Signup and view all the answers

What is the mathematical difference between markups and markdowns?

<p>Increase vs. decrease</p> Signup and view all the answers

Understanding ______ relationships involves recognizing a consistent ratio between two quantities.

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

If the price of a product increases from $10 to $12, what type of calculation is used to describe this change?

<p>Percent change/increase (A)</p> Signup and view all the answers

Flashcards

Ratio

A comparison between two quantities, often expressed as a fraction.

Equivalent Ratios

Values that, though expressed differently, have the same underlying value.

Variable

Letter that represents a quantity that can change or vary.

Representation

A way of showing or explaining information, like a graph or chart.

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Proportion

An equation stating that two ratios are equal.

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Constant of Proportionality

The constant value that relates two proportional quantities.

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Percent Change

The amount something increases or decreases, expressed as a percentage of the original amount.

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Markdown

A reduction in price; opposite of markup.

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Markup

An upward adjustment of a product's price.

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Discount

A reduction in the usual price.

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Study Notes

  • Formative project notes involve RATIOS, understanding, variable use, understanding presentation, and proportions.
  • Proportions are a method of finding the constant of proportionality from an equation.
  • Proportional relationships can be identified using a graph.
  • Percent change can be an increase or a decrease.
  • Markups, markdowns, and discounts are topics of interest.
  • It is important to understand the difference between markups, markdowns, and discounts.

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